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Finding the Fourth Proportional to 1,666.35, 2,497.57 and 1,254.15

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Solution

The fourth proportional to 1,666.35, 2,497.57 and 1,254.15 is: 1,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.35 : 2,497.57 = 1,254.15 : x
  2. Step 2: Convert to fraction form
    1,666.35/2,497.57 = 1,254.15/x
  3. Step 3: Cross multiply
    1,666.35x = 2,497.57 × 1,254.15
  4. Step 4: Simplify right side
    1,666.35x = 3,132,324.28
  5. Step 5: Solve for x
    x = 3,132,324.28/1,666.35
  6. Step 6: Final answer
    x = 1,879.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.