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Finding the Fourth Proportional to 2,687.64, 4,031.63 and 839.03

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Solution

The fourth proportional to 2,687.64, 4,031.63 and 839.03 is: 1,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.64 : 4,031.63 = 839.03 : x
  2. Step 2: Convert to fraction form
    2,687.64/4,031.63 = 839.03/x
  3. Step 3: Cross multiply
    2,687.64x = 4,031.63 × 839.03
  4. Step 4: Simplify right side
    2,687.64x = 3,382,634.17
  5. Step 5: Solve for x
    x = 3,382,634.17/2,687.64
  6. Step 6: Final answer
    x = 1,258.59

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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.