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Finding the Fourth Proportional to 3,159.85, 4,359.18 and 1,832.78

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Solution

The fourth proportional to 3,159.85, 4,359.18 and 1,832.78 is: 2,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.85 : 4,359.18 = 1,832.78 : x
  2. Step 2: Convert to fraction form
    3,159.85/4,359.18 = 1,832.78/x
  3. Step 3: Cross multiply
    3,159.85x = 4,359.18 × 1,832.78
  4. Step 4: Simplify right side
    3,159.85x = 7,989,408.76
  5. Step 5: Solve for x
    x = 7,989,408.76/3,159.85
  6. Step 6: Final answer
    x = 2,528.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.