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Finding the Fourth Proportional to 2,458.75, 3,686.87 and 814.71

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Solution

The fourth proportional to 2,458.75, 3,686.87 and 814.71 is: 1,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.75 : 3,686.87 = 814.71 : x
  2. Step 2: Convert to fraction form
    2,458.75/3,686.87 = 814.71/x
  3. Step 3: Cross multiply
    2,458.75x = 3,686.87 × 814.71
  4. Step 4: Simplify right side
    2,458.75x = 3,003,729.86
  5. Step 5: Solve for x
    x = 3,003,729.86/2,458.75
  6. Step 6: Final answer
    x = 1,221.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.