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Finding the Fourth Proportional to 2,447.91, 3,672.14 and 888.39

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Solution

The fourth proportional to 2,447.91, 3,672.14 and 888.39 is: 1,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.91 : 3,672.14 = 888.39 : x
  2. Step 2: Convert to fraction form
    2,447.91/3,672.14 = 888.39/x
  3. Step 3: Cross multiply
    2,447.91x = 3,672.14 × 888.39
  4. Step 4: Simplify right side
    2,447.91x = 3,262,288.01
  5. Step 5: Solve for x
    x = 3,262,288.01/2,447.91
  6. Step 6: Final answer
    x = 1,332.68

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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.