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Finding the Fourth Proportional to 2,438.52, 3,657.17 and 1,514.72

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Solution

The fourth proportional to 2,438.52, 3,657.17 and 1,514.72 is: 2,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.52 : 3,657.17 = 1,514.72 : x
  2. Step 2: Convert to fraction form
    2,438.52/3,657.17 = 1,514.72/x
  3. Step 3: Cross multiply
    2,438.52x = 3,657.17 × 1,514.72
  4. Step 4: Simplify right side
    2,438.52x = 5,539,562.68
  5. Step 5: Solve for x
    x = 5,539,562.68/2,438.52
  6. Step 6: Final answer
    x = 2,271.69

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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.