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Finding the Fourth Proportional to 2,942, 4,414.62 and 1,403

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Solution

The fourth proportional to 2,942, 4,414.62 and 1,403 is: 2,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942 : 4,414.62 = 1,403 : x
  2. Step 2: Convert to fraction form
    2,942/4,414.62 = 1,403/x
  3. Step 3: Cross multiply
    2,942x = 4,414.62 × 1,403
  4. Step 4: Simplify right side
    2,942x = 6,193,711.86
  5. Step 5: Solve for x
    x = 6,193,711.86/2,942
  6. Step 6: Final answer
    x = 2,105.27

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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.