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Finding the Fourth Proportional to 2,229.39, 3,344.07 and 669.53

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Solution

The fourth proportional to 2,229.39, 3,344.07 and 669.53 is: 1,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.39 : 3,344.07 = 669.53 : x
  2. Step 2: Convert to fraction form
    2,229.39/3,344.07 = 669.53/x
  3. Step 3: Cross multiply
    2,229.39x = 3,344.07 × 669.53
  4. Step 4: Simplify right side
    2,229.39x = 2,238,966.53
  5. Step 5: Solve for x
    x = 2,238,966.53/2,229.39
  6. Step 6: Final answer
    x = 1,004.29

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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.