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Finding the Fourth Proportional to 1,489.38, 2,220.96 and 1,385.49

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Solution

The fourth proportional to 1,489.38, 2,220.96 and 1,385.49 is: 2,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.38 : 2,220.96 = 1,385.49 : x
  2. Step 2: Convert to fraction form
    1,489.38/2,220.96 = 1,385.49/x
  3. Step 3: Cross multiply
    1,489.38x = 2,220.96 × 1,385.49
  4. Step 4: Simplify right side
    1,489.38x = 3,077,117.87
  5. Step 5: Solve for x
    x = 3,077,117.87/1,489.38
  6. Step 6: Final answer
    x = 2,066.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.