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Finding the Fourth Proportional to 2,934.74, 4,402.28 and 743.49

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Solution

The fourth proportional to 2,934.74, 4,402.28 and 743.49 is: 1,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.74 : 4,402.28 = 743.49 : x
  2. Step 2: Convert to fraction form
    2,934.74/4,402.28 = 743.49/x
  3. Step 3: Cross multiply
    2,934.74x = 4,402.28 × 743.49
  4. Step 4: Simplify right side
    2,934.74x = 3,273,047.44
  5. Step 5: Solve for x
    x = 3,273,047.44/2,934.74
  6. Step 6: Final answer
    x = 1,115.28

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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.