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Finding the Fourth Proportional to 2,714.64, 4,065.30 and 2,451.68

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Solution

The fourth proportional to 2,714.64, 4,065.30 and 2,451.68 is: 3,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.64 : 4,065.30 = 2,451.68 : x
  2. Step 2: Convert to fraction form
    2,714.64/4,065.30 = 2,451.68/x
  3. Step 3: Cross multiply
    2,714.64x = 4,065.30 × 2,451.68
  4. Step 4: Simplify right side
    2,714.64x = 9,966,814.70
  5. Step 5: Solve for x
    x = 9,966,814.70/2,714.64
  6. Step 6: Final answer
    x = 3,671.51

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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.