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Finding the Fourth Proportional to 3,160.68, 4,741.02 and 969.66

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Solution

The fourth proportional to 3,160.68, 4,741.02 and 969.66 is: 1,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.68 : 4,741.02 = 969.66 : x
  2. Step 2: Convert to fraction form
    3,160.68/4,741.02 = 969.66/x
  3. Step 3: Cross multiply
    3,160.68x = 4,741.02 × 969.66
  4. Step 4: Simplify right side
    3,160.68x = 4,597,177.45
  5. Step 5: Solve for x
    x = 4,597,177.45/3,160.68
  6. Step 6: Final answer
    x = 1,454.49

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.