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Finding the Fourth Proportional to 2,227.61, 3,339.33 and 766.41

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Solution

The fourth proportional to 2,227.61, 3,339.33 and 766.41 is: 1,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.61 : 3,339.33 = 766.41 : x
  2. Step 2: Convert to fraction form
    2,227.61/3,339.33 = 766.41/x
  3. Step 3: Cross multiply
    2,227.61x = 3,339.33 × 766.41
  4. Step 4: Simplify right side
    2,227.61x = 2,559,295.91
  5. Step 5: Solve for x
    x = 2,559,295.91/2,227.61
  6. Step 6: Final answer
    x = 1,148.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.