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Finding the Fourth Proportional to 2,148.59, 3,217.42 and 1,415.95

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Solution

The fourth proportional to 2,148.59, 3,217.42 and 1,415.95 is: 2,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.59 : 3,217.42 = 1,415.95 : x
  2. Step 2: Convert to fraction form
    2,148.59/3,217.42 = 1,415.95/x
  3. Step 3: Cross multiply
    2,148.59x = 3,217.42 × 1,415.95
  4. Step 4: Simplify right side
    2,148.59x = 4,555,691.61
  5. Step 5: Solve for x
    x = 4,555,691.61/2,148.59
  6. Step 6: Final answer
    x = 2,120.31

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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.