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Finding the Fourth Proportional to 3,197.76, 4,794.54 and 1,532.76

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Solution

The fourth proportional to 3,197.76, 4,794.54 and 1,532.76 is: 2,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.76 : 4,794.54 = 1,532.76 : x
  2. Step 2: Convert to fraction form
    3,197.76/4,794.54 = 1,532.76/x
  3. Step 3: Cross multiply
    3,197.76x = 4,794.54 × 1,532.76
  4. Step 4: Simplify right side
    3,197.76x = 7,348,879.13
  5. Step 5: Solve for x
    x = 7,348,879.13/3,197.76
  6. Step 6: Final answer
    x = 2,298.13

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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.