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Finding the Fourth Proportional to 2,248.55, 3,370.52 and 861.53

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Solution

The fourth proportional to 2,248.55, 3,370.52 and 861.53 is: 1,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248.55 : 3,370.52 = 861.53 : x
  2. Step 2: Convert to fraction form
    2,248.55/3,370.52 = 861.53/x
  3. Step 3: Cross multiply
    2,248.55x = 3,370.52 × 861.53
  4. Step 4: Simplify right side
    2,248.55x = 2,903,791.36
  5. Step 5: Solve for x
    x = 2,903,791.36/2,248.55
  6. Step 6: Final answer
    x = 1,291.41

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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.