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Finding the Fourth Proportional to 3,197.68, 4,792.56 and 1,552.88

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Solution

The fourth proportional to 3,197.68, 4,792.56 and 1,552.88 is: 2,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.68 : 4,792.56 = 1,552.88 : x
  2. Step 2: Convert to fraction form
    3,197.68/4,792.56 = 1,552.88/x
  3. Step 3: Cross multiply
    3,197.68x = 4,792.56 × 1,552.88
  4. Step 4: Simplify right side
    3,197.68x = 7,442,270.57
  5. Step 5: Solve for x
    x = 7,442,270.57/3,197.68
  6. Step 6: Final answer
    x = 2,327.40

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1.5x scale

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.