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Finding the Fourth Proportional to 1,616.56, 2,233.62 and 1,287.88

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Solution

The fourth proportional to 1,616.56, 2,233.62 and 1,287.88 is: 1,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.56 : 2,233.62 = 1,287.88 : x
  2. Step 2: Convert to fraction form
    1,616.56/2,233.62 = 1,287.88/x
  3. Step 3: Cross multiply
    1,616.56x = 2,233.62 × 1,287.88
  4. Step 4: Simplify right side
    1,616.56x = 2,876,634.53
  5. Step 5: Solve for x
    x = 2,876,634.53/1,616.56
  6. Step 6: Final answer
    x = 1,779.48

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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.