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Finding the Fourth Proportional to 2,248.59, 3,372.83 and 709.59

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Solution

The fourth proportional to 2,248.59, 3,372.83 and 709.59 is: 1,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.59 : 3,372.83 = 709.59 : x
  2. Step 2: Convert to fraction form
    2,248.59/3,372.83 = 709.59/x
  3. Step 3: Cross multiply
    2,248.59x = 3,372.83 × 709.59
  4. Step 4: Simplify right side
    2,248.59x = 2,393,326.44
  5. Step 5: Solve for x
    x = 2,393,326.44/2,248.59
  6. Step 6: Final answer
    x = 1,064.37

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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.