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Finding the Fourth Proportional to 2,231.76, 3,079.88 and 1,223.52

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Solution

The fourth proportional to 2,231.76, 3,079.88 and 1,223.52 is: 1,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.76 : 3,079.88 = 1,223.52 : x
  2. Step 2: Convert to fraction form
    2,231.76/3,079.88 = 1,223.52/x
  3. Step 3: Cross multiply
    2,231.76x = 3,079.88 × 1,223.52
  4. Step 4: Simplify right side
    2,231.76x = 3,768,294.78
  5. Step 5: Solve for x
    x = 3,768,294.78/2,231.76
  6. Step 6: Final answer
    x = 1,688.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.