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Finding the Fourth Proportional to 3,160.90, 4,741.50 and 969.81

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Solution

The fourth proportional to 3,160.90, 4,741.50 and 969.81 is: 1,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.90 : 4,741.50 = 969.81 : x
  2. Step 2: Convert to fraction form
    3,160.90/4,741.50 = 969.81/x
  3. Step 3: Cross multiply
    3,160.90x = 4,741.50 × 969.81
  4. Step 4: Simplify right side
    3,160.90x = 4,598,339.97
  5. Step 5: Solve for x
    x = 4,598,339.97/3,160.90
  6. Step 6: Final answer
    x = 1,454.76

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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.