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Finding the Fourth Proportional to 3,159.60, 4,732.56 and 2,292

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Solution

The fourth proportional to 3,159.60, 4,732.56 and 2,292 is: 3,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.60 : 4,732.56 = 2,292 : x
  2. Step 2: Convert to fraction form
    3,159.60/4,732.56 = 2,292/x
  3. Step 3: Cross multiply
    3,159.60x = 4,732.56 × 2,292
  4. Step 4: Simplify right side
    3,159.60x = 10,847,027.52
  5. Step 5: Solve for x
    x = 10,847,027.52/3,159.60
  6. Step 6: Final answer
    x = 3,433.04

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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.