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Finding the Fourth Proportional to 1,865.94, 2,575.17 and 1,080.24

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Solution

The fourth proportional to 1,865.94, 2,575.17 and 1,080.24 is: 1,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.94 : 2,575.17 = 1,080.24 : x
  2. Step 2: Convert to fraction form
    1,865.94/2,575.17 = 1,080.24/x
  3. Step 3: Cross multiply
    1,865.94x = 2,575.17 × 1,080.24
  4. Step 4: Simplify right side
    1,865.94x = 2,781,801.64
  5. Step 5: Solve for x
    x = 2,781,801.64/1,865.94
  6. Step 6: Final answer
    x = 1,490.83

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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.