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Finding the Fourth Proportional to 3,074.47, 4,612.49 and 883.20

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Solution

The fourth proportional to 3,074.47, 4,612.49 and 883.20 is: 1,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.47 : 4,612.49 = 883.20 : x
  2. Step 2: Convert to fraction form
    3,074.47/4,612.49 = 883.20/x
  3. Step 3: Cross multiply
    3,074.47x = 4,612.49 × 883.20
  4. Step 4: Simplify right side
    3,074.47x = 4,073,751.17
  5. Step 5: Solve for x
    x = 4,073,751.17/3,074.47
  6. Step 6: Final answer
    x = 1,325.03

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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.