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Finding the Fourth Proportional to 2,238.48, 3,357.54 and 1,414.35

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Solution

The fourth proportional to 2,238.48, 3,357.54 and 1,414.35 is: 2,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.48 : 3,357.54 = 1,414.35 : x
  2. Step 2: Convert to fraction form
    2,238.48/3,357.54 = 1,414.35/x
  3. Step 3: Cross multiply
    2,238.48x = 3,357.54 × 1,414.35
  4. Step 4: Simplify right side
    2,238.48x = 4,748,736.70
  5. Step 5: Solve for x
    x = 4,748,736.70/2,238.48
  6. Step 6: Final answer
    x = 2,121.41

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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.