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Finding the Fourth Proportional to 2,743.04, 4,114.56 and 1,447.04

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Solution

The fourth proportional to 2,743.04, 4,114.56 and 1,447.04 is: 2,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.04 : 4,114.56 = 1,447.04 : x
  2. Step 2: Convert to fraction form
    2,743.04/4,114.56 = 1,447.04/x
  3. Step 3: Cross multiply
    2,743.04x = 4,114.56 × 1,447.04
  4. Step 4: Simplify right side
    2,743.04x = 5,953,932.90
  5. Step 5: Solve for x
    x = 5,953,932.90/2,743.04
  6. Step 6: Final answer
    x = 2,170.56

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1.5x scale

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.