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Finding the Fourth Proportional to 3,160.62, 4,741.47 and 969.30

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Solution

The fourth proportional to 3,160.62, 4,741.47 and 969.30 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.62 : 4,741.47 = 969.30 : x
  2. Step 2: Convert to fraction form
    3,160.62/4,741.47 = 969.30/x
  3. Step 3: Cross multiply
    3,160.62x = 4,741.47 × 969.30
  4. Step 4: Simplify right side
    3,160.62x = 4,595,906.87
  5. Step 5: Solve for x
    x = 4,595,906.87/3,160.62
  6. Step 6: Final answer
    x = 1,454.12

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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.