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Finding the Fourth Proportional to 2,511.42, 3,766.70 and 662.55

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Solution

The fourth proportional to 2,511.42, 3,766.70 and 662.55 is: 993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.42 : 3,766.70 = 662.55 : x
  2. Step 2: Convert to fraction form
    2,511.42/3,766.70 = 662.55/x
  3. Step 3: Cross multiply
    2,511.42x = 3,766.70 × 662.55
  4. Step 4: Simplify right side
    2,511.42x = 2,495,641.21
  5. Step 5: Solve for x
    x = 2,495,641.21/2,511.42
  6. Step 6: Final answer
    x = 993.72

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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.