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Finding the Fourth Proportional to 2,337, 3,507.96 and 1,414.86

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Solution

The fourth proportional to 2,337, 3,507.96 and 1,414.86 is: 2,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337 : 3,507.96 = 1,414.86 : x
  2. Step 2: Convert to fraction form
    2,337/3,507.96 = 1,414.86/x
  3. Step 3: Cross multiply
    2,337x = 3,507.96 × 1,414.86
  4. Step 4: Simplify right side
    2,337x = 4,963,272.29
  5. Step 5: Solve for x
    x = 4,963,272.29/2,337
  6. Step 6: Final answer
    x = 2,123.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.