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Finding the Fourth Proportional to 1,760.56, 2,429.57 and 1,097.41

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Solution

The fourth proportional to 1,760.56, 2,429.57 and 1,097.41 is: 1,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.56 : 2,429.57 = 1,097.41 : x
  2. Step 2: Convert to fraction form
    1,760.56/2,429.57 = 1,097.41/x
  3. Step 3: Cross multiply
    1,760.56x = 2,429.57 × 1,097.41
  4. Step 4: Simplify right side
    1,760.56x = 2,666,244.02
  5. Step 5: Solve for x
    x = 2,666,244.02/1,760.56
  6. Step 6: Final answer
    x = 1,514.43

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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.