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Finding the Fourth Proportional to 1,902.13, 2,853.59 and 806.47

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Solution

The fourth proportional to 1,902.13, 2,853.59 and 806.47 is: 1,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.13 : 2,853.59 = 806.47 : x
  2. Step 2: Convert to fraction form
    1,902.13/2,853.59 = 806.47/x
  3. Step 3: Cross multiply
    1,902.13x = 2,853.59 × 806.47
  4. Step 4: Simplify right side
    1,902.13x = 2,301,329.61
  5. Step 5: Solve for x
    x = 2,301,329.61/1,902.13
  6. Step 6: Final answer
    x = 1,209.87

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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.