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Finding the Fourth Proportional to 3,414.70, 4,702.35 and 2,966.37

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Solution

The fourth proportional to 3,414.70, 4,702.35 and 2,966.37 is: 4,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.70 : 4,702.35 = 2,966.37 : x
  2. Step 2: Convert to fraction form
    3,414.70/4,702.35 = 2,966.37/x
  3. Step 3: Cross multiply
    3,414.70x = 4,702.35 × 2,966.37
  4. Step 4: Simplify right side
    3,414.70x = 13,948,909.97
  5. Step 5: Solve for x
    x = 13,948,909.97/3,414.70
  6. Step 6: Final answer
    x = 4,084.96

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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.