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Finding the Fourth Proportional to 2,432.52, 3,648.76 and 608.52

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Solution

The fourth proportional to 2,432.52, 3,648.76 and 608.52 is: 912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.52 : 3,648.76 = 608.52 : x
  2. Step 2: Convert to fraction form
    2,432.52/3,648.76 = 608.52/x
  3. Step 3: Cross multiply
    2,432.52x = 3,648.76 × 608.52
  4. Step 4: Simplify right side
    2,432.52x = 2,220,343.44
  5. Step 5: Solve for x
    x = 2,220,343.44/2,432.52
  6. Step 6: Final answer
    x = 912.77

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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.