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Finding the Fourth Proportional to 2,714.67, 4,073.22 and 1,560.42

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Solution

The fourth proportional to 2,714.67, 4,073.22 and 1,560.42 is: 2,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.67 : 4,073.22 = 1,560.42 : x
  2. Step 2: Convert to fraction form
    2,714.67/4,073.22 = 1,560.42/x
  3. Step 3: Cross multiply
    2,714.67x = 4,073.22 × 1,560.42
  4. Step 4: Simplify right side
    2,714.67x = 6,355,933.95
  5. Step 5: Solve for x
    x = 6,355,933.95/2,714.67
  6. Step 6: Final answer
    x = 2,341.33

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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.