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Finding the Fourth Proportional to 3,061.90, 4,593.62 and 870.66

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Solution

The fourth proportional to 3,061.90, 4,593.62 and 870.66 is: 1,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.90 : 4,593.62 = 870.66 : x
  2. Step 2: Convert to fraction form
    3,061.90/4,593.62 = 870.66/x
  3. Step 3: Cross multiply
    3,061.90x = 4,593.62 × 870.66
  4. Step 4: Simplify right side
    3,061.90x = 3,999,481.19
  5. Step 5: Solve for x
    x = 3,999,481.19/3,061.90
  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.