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Finding the Fourth Proportional to 2,675.81, 4,013.68 and 1,031.20

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Solution

The fourth proportional to 2,675.81, 4,013.68 and 1,031.20 is: 1,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.81 : 4,013.68 = 1,031.20 : x
  2. Step 2: Convert to fraction form
    2,675.81/4,013.68 = 1,031.20/x
  3. Step 3: Cross multiply
    2,675.81x = 4,013.68 × 1,031.20
  4. Step 4: Simplify right side
    2,675.81x = 4,138,894.20
  5. Step 5: Solve for x
    x = 4,138,894.20/2,675.81
  6. Step 6: Final answer
    x = 1,546.78

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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.