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Finding the Fourth Proportional to 1,502.97, 2,074.03 and 839.81

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Solution

The fourth proportional to 1,502.97, 2,074.03 and 839.81 is: 1,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.97 : 2,074.03 = 839.81 : x
  2. Step 2: Convert to fraction form
    1,502.97/2,074.03 = 839.81/x
  3. Step 3: Cross multiply
    1,502.97x = 2,074.03 × 839.81
  4. Step 4: Simplify right side
    1,502.97x = 1,741,791.13
  5. Step 5: Solve for x
    x = 1,741,791.13/1,502.97
  6. Step 6: Final answer
    x = 1,158.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.