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Finding the Fourth Proportional to 2,249.57, 3,374.34 and 710.57

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Solution

The fourth proportional to 2,249.57, 3,374.34 and 710.57 is: 1,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.57 : 3,374.34 = 710.57 : x
  2. Step 2: Convert to fraction form
    2,249.57/3,374.34 = 710.57/x
  3. Step 3: Cross multiply
    2,249.57x = 3,374.34 × 710.57
  4. Step 4: Simplify right side
    2,249.57x = 2,397,704.77
  5. Step 5: Solve for x
    x = 2,397,704.77/2,249.57
  6. Step 6: Final answer
    x = 1,065.85

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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.