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Finding the Fourth Proportional to 1,442.22, 2,163.33 and 748.53

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Solution

The fourth proportional to 1,442.22, 2,163.33 and 748.53 is: 1,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.22 : 2,163.33 = 748.53 : x
  2. Step 2: Convert to fraction form
    1,442.22/2,163.33 = 748.53/x
  3. Step 3: Cross multiply
    1,442.22x = 2,163.33 × 748.53
  4. Step 4: Simplify right side
    1,442.22x = 1,619,329.03
  5. Step 5: Solve for x
    x = 1,619,329.03/1,442.22
  6. Step 6: Final answer
    x = 1,122.80

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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.