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Finding the Fourth Proportional to 3,052.98, 4,578.98 and 861.86

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Solution

The fourth proportional to 3,052.98, 4,578.98 and 861.86 is: 1,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.98 : 4,578.98 = 861.86 : x
  2. Step 2: Convert to fraction form
    3,052.98/4,578.98 = 861.86/x
  3. Step 3: Cross multiply
    3,052.98x = 4,578.98 × 861.86
  4. Step 4: Simplify right side
    3,052.98x = 3,946,439.70
  5. Step 5: Solve for x
    x = 3,946,439.70/3,052.98
  6. Step 6: Final answer
    x = 1,292.65

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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.