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Finding the Fourth Proportional to 2,698.38, 3,722.76 and 1,812.78

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Solution

The fourth proportional to 2,698.38, 3,722.76 and 1,812.78 is: 2,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.38 : 3,722.76 = 1,812.78 : x
  2. Step 2: Convert to fraction form
    2,698.38/3,722.76 = 1,812.78/x
  3. Step 3: Cross multiply
    2,698.38x = 3,722.76 × 1,812.78
  4. Step 4: Simplify right side
    2,698.38x = 6,748,544.87
  5. Step 5: Solve for x
    x = 6,748,544.87/2,698.38
  6. Step 6: Final answer
    x = 2,500.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.