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Finding the Fourth Proportional to 3,074.73, 4,612.31 and 883.41

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Solution

The fourth proportional to 3,074.73, 4,612.31 and 883.41 is: 1,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.73 : 4,612.31 = 883.41 : x
  2. Step 2: Convert to fraction form
    3,074.73/4,612.31 = 883.41/x
  3. Step 3: Cross multiply
    3,074.73x = 4,612.31 × 883.41
  4. Step 4: Simplify right side
    3,074.73x = 4,074,556.36
  5. Step 5: Solve for x
    x = 4,074,556.36/3,074.73
  6. Step 6: Final answer
    x = 1,325.18

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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.