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Finding the Fourth Proportional to 2,689.30, 4,032.46 and 839.66

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Solution

The fourth proportional to 2,689.30, 4,032.46 and 839.66 is: 1,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.30 : 4,032.46 = 839.66 : x
  2. Step 2: Convert to fraction form
    2,689.30/4,032.46 = 839.66/x
  3. Step 3: Cross multiply
    2,689.30x = 4,032.46 × 839.66
  4. Step 4: Simplify right side
    2,689.30x = 3,385,891.17
  5. Step 5: Solve for x
    x = 3,385,891.17/2,689.30
  6. Step 6: Final answer
    x = 1,259.03

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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.