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Finding the Fourth Proportional to 1,432.33, 2,144.85 and 943.90

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Solution

The fourth proportional to 1,432.33, 2,144.85 and 943.90 is: 1,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.33 : 2,144.85 = 943.90 : x
  2. Step 2: Convert to fraction form
    1,432.33/2,144.85 = 943.90/x
  3. Step 3: Cross multiply
    1,432.33x = 2,144.85 × 943.90
  4. Step 4: Simplify right side
    1,432.33x = 2,024,523.92
  5. Step 5: Solve for x
    x = 2,024,523.92/1,432.33
  6. Step 6: Final answer
    x = 1,413.45

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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.