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Finding the Fourth Proportional to 3,098.68, 4,276.38 and 1,772.56

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Solution

The fourth proportional to 3,098.68, 4,276.38 and 1,772.56 is: 2,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.68 : 4,276.38 = 1,772.56 : x
  2. Step 2: Convert to fraction form
    3,098.68/4,276.38 = 1,772.56/x
  3. Step 3: Cross multiply
    3,098.68x = 4,276.38 × 1,772.56
  4. Step 4: Simplify right side
    3,098.68x = 7,580,140.13
  5. Step 5: Solve for x
    x = 7,580,140.13/3,098.68
  6. Step 6: Final answer
    x = 2,446.25

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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.