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Finding the Fourth Proportional to 2,468.71, 3,704.10 and 908.88

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Solution

The fourth proportional to 2,468.71, 3,704.10 and 908.88 is: 1,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.71 : 3,704.10 = 908.88 : x
  2. Step 2: Convert to fraction form
    2,468.71/3,704.10 = 908.88/x
  3. Step 3: Cross multiply
    2,468.71x = 3,704.10 × 908.88
  4. Step 4: Simplify right side
    2,468.71x = 3,366,582.41
  5. Step 5: Solve for x
    x = 3,366,582.41/2,468.71
  6. Step 6: Final answer
    x = 1,363.70

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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.