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Finding the Fourth Proportional to 2,714.97, 4,064.53 and 1,671.84

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Solution

The fourth proportional to 2,714.97, 4,064.53 and 1,671.84 is: 2,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.97 : 4,064.53 = 1,671.84 : x
  2. Step 2: Convert to fraction form
    2,714.97/4,064.53 = 1,671.84/x
  3. Step 3: Cross multiply
    2,714.97x = 4,064.53 × 1,671.84
  4. Step 4: Simplify right side
    2,714.97x = 6,795,235.48
  5. Step 5: Solve for x
    x = 6,795,235.48/2,714.97
  6. Step 6: Final answer
    x = 2,502.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.