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Finding the Fourth Proportional to 2,651.25, 3,948.87 and 2,512.47

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Solution

The fourth proportional to 2,651.25, 3,948.87 and 2,512.47 is: 3,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.25 : 3,948.87 = 2,512.47 : x
  2. Step 2: Convert to fraction form
    2,651.25/3,948.87 = 2,512.47/x
  3. Step 3: Cross multiply
    2,651.25x = 3,948.87 × 2,512.47
  4. Step 4: Simplify right side
    2,651.25x = 9,921,417.41
  5. Step 5: Solve for x
    x = 9,921,417.41/2,651.25
  6. Step 6: Final answer
    x = 3,742.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.