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Finding the Fourth Proportional to 2,744.71, 4,114.76 and 2,223.42

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Solution

The fourth proportional to 2,744.71, 4,114.76 and 2,223.42 is: 3,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.71 : 4,114.76 = 2,223.42 : x
  2. Step 2: Convert to fraction form
    2,744.71/4,114.76 = 2,223.42/x
  3. Step 3: Cross multiply
    2,744.71x = 4,114.76 × 2,223.42
  4. Step 4: Simplify right side
    2,744.71x = 9,148,823.09
  5. Step 5: Solve for x
    x = 9,148,823.09/2,744.71
  6. Step 6: Final answer
    x = 3,333.26

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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.