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Finding the Fourth Proportional to 2,582, 3,572.55 and 2,251.12

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Solution

The fourth proportional to 2,582, 3,572.55 and 2,251.12 is: 3,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582 : 3,572.55 = 2,251.12 : x
  2. Step 2: Convert to fraction form
    2,582/3,572.55 = 2,251.12/x
  3. Step 3: Cross multiply
    2,582x = 3,572.55 × 2,251.12
  4. Step 4: Simplify right side
    2,582x = 8,042,209.64
  5. Step 5: Solve for x
    x = 8,042,209.64/2,582
  6. Step 6: Final answer
    x = 3,114.72

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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.