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Finding the Fourth Proportional to 3,182.48, 4,387.50 and 2,387

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Solution

The fourth proportional to 3,182.48, 4,387.50 and 2,387 is: 3,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.48 : 4,387.50 = 2,387 : x
  2. Step 2: Convert to fraction form
    3,182.48/4,387.50 = 2,387/x
  3. Step 3: Cross multiply
    3,182.48x = 4,387.50 × 2,387
  4. Step 4: Simplify right side
    3,182.48x = 10,472,962.50
  5. Step 5: Solve for x
    x = 10,472,962.50/3,182.48
  6. Step 6: Final answer
    x = 3,290.82

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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.