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Finding the Fourth Proportional to 2,934.19, 4,400.87 and 742.78

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Solution

The fourth proportional to 2,934.19, 4,400.87 and 742.78 is: 1,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.19 : 4,400.87 = 742.78 : x
  2. Step 2: Convert to fraction form
    2,934.19/4,400.87 = 742.78/x
  3. Step 3: Cross multiply
    2,934.19x = 4,400.87 × 742.78
  4. Step 4: Simplify right side
    2,934.19x = 3,268,874.50
  5. Step 5: Solve for x
    x = 3,268,874.50/2,934.19
  6. Step 6: Final answer
    x = 1,114.07

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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.