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Finding the Fourth Proportional to 1,781.52, 2,458.68 and 1,118.88

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Solution

The fourth proportional to 1,781.52, 2,458.68 and 1,118.88 is: 1,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.52 : 2,458.68 = 1,118.88 : x
  2. Step 2: Convert to fraction form
    1,781.52/2,458.68 = 1,118.88/x
  3. Step 3: Cross multiply
    1,781.52x = 2,458.68 × 1,118.88
  4. Step 4: Simplify right side
    1,781.52x = 2,750,967.88
  5. Step 5: Solve for x
    x = 2,750,967.88/1,781.52
  6. Step 6: Final answer
    x = 1,544.17

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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.