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Finding the Fourth Proportional to 3,231.56, 4,460 and 1,887.62

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Solution

The fourth proportional to 3,231.56, 4,460 and 1,887.62 is: 2,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.56 : 4,460 = 1,887.62 : x
  2. Step 2: Convert to fraction form
    3,231.56/4,460 = 1,887.62/x
  3. Step 3: Cross multiply
    3,231.56x = 4,460 × 1,887.62
  4. Step 4: Simplify right side
    3,231.56x = 8,418,785.20
  5. Step 5: Solve for x
    x = 8,418,785.20/3,231.56
  6. Step 6: Final answer
    x = 2,605.18

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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.