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Finding the Fourth Proportional to 2,687.66, 4,031.75 and 1,044.33

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Solution

The fourth proportional to 2,687.66, 4,031.75 and 1,044.33 is: 1,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.66 : 4,031.75 = 1,044.33 : x
  2. Step 2: Convert to fraction form
    2,687.66/4,031.75 = 1,044.33/x
  3. Step 3: Cross multiply
    2,687.66x = 4,031.75 × 1,044.33
  4. Step 4: Simplify right side
    2,687.66x = 4,210,493.11
  5. Step 5: Solve for x
    x = 4,210,493.11/2,687.66
  6. Step 6: Final answer
    x = 1,566.60

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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.