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Finding the Fourth Proportional to 2,165.12, 3,248 and 625.92

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Solution

The fourth proportional to 2,165.12, 3,248 and 625.92 is: 938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.12 : 3,248 = 625.92 : x
  2. Step 2: Convert to fraction form
    2,165.12/3,248 = 625.92/x
  3. Step 3: Cross multiply
    2,165.12x = 3,248 × 625.92
  4. Step 4: Simplify right side
    2,165.12x = 2,032,988.16
  5. Step 5: Solve for x
    x = 2,032,988.16/2,165.12
  6. Step 6: Final answer
    x = 938.97

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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.