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Finding the Fourth Proportional to 2,800.38, 4,203.17 and 1,414.69

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Solution

The fourth proportional to 2,800.38, 4,203.17 and 1,414.69 is: 2,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.38 : 4,203.17 = 1,414.69 : x
  2. Step 2: Convert to fraction form
    2,800.38/4,203.17 = 1,414.69/x
  3. Step 3: Cross multiply
    2,800.38x = 4,203.17 × 1,414.69
  4. Step 4: Simplify right side
    2,800.38x = 5,946,193.93
  5. Step 5: Solve for x
    x = 5,946,193.93/2,800.38
  6. Step 6: Final answer
    x = 2,123.35

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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.