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Finding the Fourth Proportional to 2,821.59, 4,232.33 and 769.59

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Solution

The fourth proportional to 2,821.59, 4,232.33 and 769.59 is: 1,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.59 : 4,232.33 = 769.59 : x
  2. Step 2: Convert to fraction form
    2,821.59/4,232.33 = 769.59/x
  3. Step 3: Cross multiply
    2,821.59x = 4,232.33 × 769.59
  4. Step 4: Simplify right side
    2,821.59x = 3,257,139.61
  5. Step 5: Solve for x
    x = 3,257,139.61/2,821.59
  6. Step 6: Final answer
    x = 1,154.37

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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.