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Finding the Fourth Proportional to 3,073.10, 4,610.38 and 881.78

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Solution

The fourth proportional to 3,073.10, 4,610.38 and 881.78 is: 1,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.10 : 4,610.38 = 881.78 : x
  2. Step 2: Convert to fraction form
    3,073.10/4,610.38 = 881.78/x
  3. Step 3: Cross multiply
    3,073.10x = 4,610.38 × 881.78
  4. Step 4: Simplify right side
    3,073.10x = 4,065,340.88
  5. Step 5: Solve for x
    x = 4,065,340.88/3,073.10
  6. Step 6: Final answer
    x = 1,322.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.