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Finding the Fourth Proportional to 1,760.14, 2,428.84 and 974.18

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Solution

The fourth proportional to 1,760.14, 2,428.84 and 974.18 is: 1,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.14 : 2,428.84 = 974.18 : x
  2. Step 2: Convert to fraction form
    1,760.14/2,428.84 = 974.18/x
  3. Step 3: Cross multiply
    1,760.14x = 2,428.84 × 974.18
  4. Step 4: Simplify right side
    1,760.14x = 2,366,127.35
  5. Step 5: Solve for x
    x = 2,366,127.35/1,760.14
  6. Step 6: Final answer
    x = 1,344.28

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