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Finding the Fourth Proportional to 1,502.86, 2,073.74 and 839.61

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Solution

The fourth proportional to 1,502.86, 2,073.74 and 839.61 is: 1,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.86 : 2,073.74 = 839.61 : x
  2. Step 2: Convert to fraction form
    1,502.86/2,073.74 = 839.61/x
  3. Step 3: Cross multiply
    1,502.86x = 2,073.74 × 839.61
  4. Step 4: Simplify right side
    1,502.86x = 1,741,132.84
  5. Step 5: Solve for x
    x = 1,741,132.84/1,502.86
  6. Step 6: Final answer
    x = 1,158.55

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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.