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Finding the Fourth Proportional to 2,237.41, 3,357.47 and 1,414.55

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Solution

The fourth proportional to 2,237.41, 3,357.47 and 1,414.55 is: 2,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.41 : 3,357.47 = 1,414.55 : x
  2. Step 2: Convert to fraction form
    2,237.41/3,357.47 = 1,414.55/x
  3. Step 3: Cross multiply
    2,237.41x = 3,357.47 × 1,414.55
  4. Step 4: Simplify right side
    2,237.41x = 4,749,295.94
  5. Step 5: Solve for x
    x = 4,749,295.94/2,237.41
  6. Step 6: Final answer
    x = 2,122.68

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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.