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Finding the Fourth Proportional to 2,331.52, 3,216.54 and 1,387.24

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Solution

The fourth proportional to 2,331.52, 3,216.54 and 1,387.24 is: 1,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.52 : 3,216.54 = 1,387.24 : x
  2. Step 2: Convert to fraction form
    2,331.52/3,216.54 = 1,387.24/x
  3. Step 3: Cross multiply
    2,331.52x = 3,216.54 × 1,387.24
  4. Step 4: Simplify right side
    2,331.52x = 4,462,112.95
  5. Step 5: Solve for x
    x = 4,462,112.95/2,331.52
  6. Step 6: Final answer
    x = 1,913.82

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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.