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Finding the Fourth Proportional to 2,511.38, 3,766.50 and 951.55

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Solution

The fourth proportional to 2,511.38, 3,766.50 and 951.55 is: 1,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.38 : 3,766.50 = 951.55 : x
  2. Step 2: Convert to fraction form
    2,511.38/3,766.50 = 951.55/x
  3. Step 3: Cross multiply
    2,511.38x = 3,766.50 × 951.55
  4. Step 4: Simplify right side
    2,511.38x = 3,583,994.24
  5. Step 5: Solve for x
    x = 3,583,994.24/2,511.38
  6. Step 6: Final answer
    x = 1,427.10

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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.