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Finding the Fourth Proportional to 2,460.33, 3,687.58 and 2,432.92

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Solution

The fourth proportional to 2,460.33, 3,687.58 and 2,432.92 is: 3,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.33 : 3,687.58 = 2,432.92 : x
  2. Step 2: Convert to fraction form
    2,460.33/3,687.58 = 2,432.92/x
  3. Step 3: Cross multiply
    2,460.33x = 3,687.58 × 2,432.92
  4. Step 4: Simplify right side
    2,460.33x = 8,971,587.13
  5. Step 5: Solve for x
    x = 8,971,587.13/2,460.33
  6. Step 6: Final answer
    x = 3,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.