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Finding the Fourth Proportional to 3,176.76, 4,766.76 and 1,445.16

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Solution

The fourth proportional to 3,176.76, 4,766.76 and 1,445.16 is: 2,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.76 : 4,766.76 = 1,445.16 : x
  2. Step 2: Convert to fraction form
    3,176.76/4,766.76 = 1,445.16/x
  3. Step 3: Cross multiply
    3,176.76x = 4,766.76 × 1,445.16
  4. Step 4: Simplify right side
    3,176.76x = 6,888,730.88
  5. Step 5: Solve for x
    x = 6,888,730.88/3,176.76
  6. Step 6: Final answer
    x = 2,168.48

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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.