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Finding the Fourth Proportional to 2,031.10, 3,047.87 and 876.85

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Solution

The fourth proportional to 2,031.10, 3,047.87 and 876.85 is: 1,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.10 : 3,047.87 = 876.85 : x
  2. Step 2: Convert to fraction form
    2,031.10/3,047.87 = 876.85/x
  3. Step 3: Cross multiply
    2,031.10x = 3,047.87 × 876.85
  4. Step 4: Simplify right side
    2,031.10x = 2,672,512.81
  5. Step 5: Solve for x
    x = 2,672,512.81/2,031.10
  6. Step 6: Final answer
    x = 1,315.80

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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.