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Finding the Fourth Proportional to 1,760.98, 2,429.53 and 1,097.29

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Solution

The fourth proportional to 1,760.98, 2,429.53 and 1,097.29 is: 1,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.98 : 2,429.53 = 1,097.29 : x
  2. Step 2: Convert to fraction form
    1,760.98/2,429.53 = 1,097.29/x
  3. Step 3: Cross multiply
    1,760.98x = 2,429.53 × 1,097.29
  4. Step 4: Simplify right side
    1,760.98x = 2,665,898.97
  5. Step 5: Solve for x
    x = 2,665,898.97/1,760.98
  6. Step 6: Final answer
    x = 1,513.87

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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.