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Finding the Fourth Proportional to 2,042.66, 3,065.91 and 1,069.44

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Solution

The fourth proportional to 2,042.66, 3,065.91 and 1,069.44 is: 1,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.66 : 3,065.91 = 1,069.44 : x
  2. Step 2: Convert to fraction form
    2,042.66/3,065.91 = 1,069.44/x
  3. Step 3: Cross multiply
    2,042.66x = 3,065.91 × 1,069.44
  4. Step 4: Simplify right side
    2,042.66x = 3,278,801.44
  5. Step 5: Solve for x
    x = 3,278,801.44/2,042.66
  6. Step 6: Final answer
    x = 1,605.17

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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.