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Finding the Fourth Proportional to 2,227.11, 3,339.53 and 745.80

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Solution

The fourth proportional to 2,227.11, 3,339.53 and 745.80 is: 1,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.11 : 3,339.53 = 745.80 : x
  2. Step 2: Convert to fraction form
    2,227.11/3,339.53 = 745.80/x
  3. Step 3: Cross multiply
    2,227.11x = 3,339.53 × 745.80
  4. Step 4: Simplify right side
    2,227.11x = 2,490,621.47
  5. Step 5: Solve for x
    x = 2,490,621.47/2,227.11
  6. Step 6: Final answer
    x = 1,118.32

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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.