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Finding the Fourth Proportional to 3,414.38, 4,711.93 and 1,922.35

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Solution

The fourth proportional to 3,414.38, 4,711.93 and 1,922.35 is: 2,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.38 : 4,711.93 = 1,922.35 : x
  2. Step 2: Convert to fraction form
    3,414.38/4,711.93 = 1,922.35/x
  3. Step 3: Cross multiply
    3,414.38x = 4,711.93 × 1,922.35
  4. Step 4: Simplify right side
    3,414.38x = 9,057,955.08
  5. Step 5: Solve for x
    x = 9,057,955.08/3,414.38
  6. Step 6: Final answer
    x = 2,652.89

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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.