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Finding the Fourth Proportional to 3,062.25, 4,593.51 and 870.78

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Solution

The fourth proportional to 3,062.25, 4,593.51 and 870.78 is: 1,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.25 : 4,593.51 = 870.78 : x
  2. Step 2: Convert to fraction form
    3,062.25/4,593.51 = 870.78/x
  3. Step 3: Cross multiply
    3,062.25x = 4,593.51 × 870.78
  4. Step 4: Simplify right side
    3,062.25x = 3,999,936.64
  5. Step 5: Solve for x
    x = 3,999,936.64/3,062.25
  6. Step 6: Final answer
    x = 1,306.21

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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.