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Finding the Fourth Proportional to 2,691.86, 3,714.76 and 1,512.94

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Solution

The fourth proportional to 2,691.86, 3,714.76 and 1,512.94 is: 2,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.86 : 3,714.76 = 1,512.94 : x
  2. Step 2: Convert to fraction form
    2,691.86/3,714.76 = 1,512.94/x
  3. Step 3: Cross multiply
    2,691.86x = 3,714.76 × 1,512.94
  4. Step 4: Simplify right side
    2,691.86x = 5,620,201.43
  5. Step 5: Solve for x
    x = 5,620,201.43/2,691.86
  6. Step 6: Final answer
    x = 2,087.85

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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.