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Finding the Fourth Proportional to 3,132.64, 4,324 and 1,952.96

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Solution

The fourth proportional to 3,132.64, 4,324 and 1,952.96 is: 2,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.64 : 4,324 = 1,952.96 : x
  2. Step 2: Convert to fraction form
    3,132.64/4,324 = 1,952.96/x
  3. Step 3: Cross multiply
    3,132.64x = 4,324 × 1,952.96
  4. Step 4: Simplify right side
    3,132.64x = 8,444,599.04
  5. Step 5: Solve for x
    x = 8,444,599.04/3,132.64
  6. Step 6: Final answer
    x = 2,695.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.