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Finding the Fourth Proportional to 1,760.10, 2,428.96 and 974.18

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Solution

The fourth proportional to 1,760.10, 2,428.96 and 974.18 is: 1,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.10 : 2,428.96 = 974.18 : x
  2. Step 2: Convert to fraction form
    1,760.10/2,428.96 = 974.18/x
  3. Step 3: Cross multiply
    1,760.10x = 2,428.96 × 974.18
  4. Step 4: Simplify right side
    1,760.10x = 2,366,244.25
  5. Step 5: Solve for x
    x = 2,366,244.25/1,760.10
  6. Step 6: Final answer
    x = 1,344.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.