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Finding the Fourth Proportional to 2,257.50, 3,115.71 and 1,637.58

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Solution

The fourth proportional to 2,257.50, 3,115.71 and 1,637.58 is: 2,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.50 : 3,115.71 = 1,637.58 : x
  2. Step 2: Convert to fraction form
    2,257.50/3,115.71 = 1,637.58/x
  3. Step 3: Cross multiply
    2,257.50x = 3,115.71 × 1,637.58
  4. Step 4: Simplify right side
    2,257.50x = 5,102,224.38
  5. Step 5: Solve for x
    x = 5,102,224.38/2,257.50
  6. Step 6: Final answer
    x = 2,260.12

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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.