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Finding the Fourth Proportional to 3,251.85, 4,878.22 and 1,031.30

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Solution

The fourth proportional to 3,251.85, 4,878.22 and 1,031.30 is: 1,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.85 : 4,878.22 = 1,031.30 : x
  2. Step 2: Convert to fraction form
    3,251.85/4,878.22 = 1,031.30/x
  3. Step 3: Cross multiply
    3,251.85x = 4,878.22 × 1,031.30
  4. Step 4: Simplify right side
    3,251.85x = 5,030,908.29
  5. Step 5: Solve for x
    x = 5,030,908.29/3,251.85
  6. Step 6: Final answer
    x = 1,547.09

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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.