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Finding the Fourth Proportional to 3,168.92, 4,746.22 and 1,526.68

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Solution

The fourth proportional to 3,168.92, 4,746.22 and 1,526.68 is: 2,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.92 : 4,746.22 = 1,526.68 : x
  2. Step 2: Convert to fraction form
    3,168.92/4,746.22 = 1,526.68/x
  3. Step 3: Cross multiply
    3,168.92x = 4,746.22 × 1,526.68
  4. Step 4: Simplify right side
    3,168.92x = 7,245,959.15
  5. Step 5: Solve for x
    x = 7,245,959.15/3,168.92
  6. Step 6: Final answer
    x = 2,286.57

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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.