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Finding the Fourth Proportional to 3,414.66, 4,691.80 and 2,714.82

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Solution

The fourth proportional to 3,414.66, 4,691.80 and 2,714.82 is: 3,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.66 : 4,691.80 = 2,714.82 : x
  2. Step 2: Convert to fraction form
    3,414.66/4,691.80 = 2,714.82/x
  3. Step 3: Cross multiply
    3,414.66x = 4,691.80 × 2,714.82
  4. Step 4: Simplify right side
    3,414.66x = 12,737,392.48
  5. Step 5: Solve for x
    x = 12,737,392.48/3,414.66
  6. Step 6: Final answer
    x = 3,730.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.