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Finding the Fourth Proportional to 2,254.84, 3,382.62 and 1,100.68

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Solution

The fourth proportional to 2,254.84, 3,382.62 and 1,100.68 is: 1,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.84 : 3,382.62 = 1,100.68 : x
  2. Step 2: Convert to fraction form
    2,254.84/3,382.62 = 1,100.68/x
  3. Step 3: Cross multiply
    2,254.84x = 3,382.62 × 1,100.68
  4. Step 4: Simplify right side
    2,254.84x = 3,723,182.18
  5. Step 5: Solve for x
    x = 3,723,182.18/2,254.84
  6. Step 6: Final answer
    x = 1,651.20

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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.