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Finding the Fourth Proportional to 3,074.88, 4,612.31 and 1,022.88

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Solution

The fourth proportional to 3,074.88, 4,612.31 and 1,022.88 is: 1,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.88 : 4,612.31 = 1,022.88 : x
  2. Step 2: Convert to fraction form
    3,074.88/4,612.31 = 1,022.88/x
  3. Step 3: Cross multiply
    3,074.88x = 4,612.31 × 1,022.88
  4. Step 4: Simplify right side
    3,074.88x = 4,717,819.15
  5. Step 5: Solve for x
    x = 4,717,819.15/3,074.88
  6. Step 6: Final answer
    x = 1,534.31

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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.