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Finding the Fourth Proportional to 2,698.92, 4,049.10 and 968.04

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Solution

The fourth proportional to 2,698.92, 4,049.10 and 968.04 is: 1,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.92 : 4,049.10 = 968.04 : x
  2. Step 2: Convert to fraction form
    2,698.92/4,049.10 = 968.04/x
  3. Step 3: Cross multiply
    2,698.92x = 4,049.10 × 968.04
  4. Step 4: Simplify right side
    2,698.92x = 3,919,690.76
  5. Step 5: Solve for x
    x = 3,919,690.76/2,698.92
  6. Step 6: Final answer
    x = 1,452.32

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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.