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Finding the Fourth Proportional to 3,414.57, 4,711.93 and 1,922.44

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Solution

The fourth proportional to 3,414.57, 4,711.93 and 1,922.44 is: 2,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.57 : 4,711.93 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    3,414.57/4,711.93 = 1,922.44/x
  3. Step 3: Cross multiply
    3,414.57x = 4,711.93 × 1,922.44
  4. Step 4: Simplify right side
    3,414.57x = 9,058,402.71
  5. Step 5: Solve for x
    x = 9,058,402.71/3,414.57
  6. Step 6: Final answer
    x = 2,652.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.