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Finding the Fourth Proportional to 1,760.07, 2,428.93 and 974.10

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Solution

The fourth proportional to 1,760.07, 2,428.93 and 974.10 is: 1,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.07 : 2,428.93 = 974.10 : x
  2. Step 2: Convert to fraction form
    1,760.07/2,428.93 = 974.10/x
  3. Step 3: Cross multiply
    1,760.07x = 2,428.93 × 974.10
  4. Step 4: Simplify right side
    1,760.07x = 2,366,018.28
  5. Step 5: Solve for x
    x = 2,366,018.28/1,760.07
  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.