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Finding the Fourth Proportional to 2,132.63, 3,200.31 and 1,472.58

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Solution

The fourth proportional to 2,132.63, 3,200.31 and 1,472.58 is: 2,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.63 : 3,200.31 = 1,472.58 : x
  2. Step 2: Convert to fraction form
    2,132.63/3,200.31 = 1,472.58/x
  3. Step 3: Cross multiply
    2,132.63x = 3,200.31 × 1,472.58
  4. Step 4: Simplify right side
    2,132.63x = 4,712,712.50
  5. Step 5: Solve for x
    x = 4,712,712.50/2,132.63
  6. Step 6: Final answer
    x = 2,209.81

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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.