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Finding the Fourth Proportional to 2,933.80, 4,400.68 and 742.53

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Solution

The fourth proportional to 2,933.80, 4,400.68 and 742.53 is: 1,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.80 : 4,400.68 = 742.53 : x
  2. Step 2: Convert to fraction form
    2,933.80/4,400.68 = 742.53/x
  3. Step 3: Cross multiply
    2,933.80x = 4,400.68 × 742.53
  4. Step 4: Simplify right side
    2,933.80x = 3,267,636.92
  5. Step 5: Solve for x
    x = 3,267,636.92/2,933.80
  6. Step 6: Final answer
    x = 1,113.79

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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.