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Finding the Fourth Proportional to 2,744.39, 3,785.51 and 1,800.24

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Solution

The fourth proportional to 2,744.39, 3,785.51 and 1,800.24 is: 2,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.39 : 3,785.51 = 1,800.24 : x
  2. Step 2: Convert to fraction form
    2,744.39/3,785.51 = 1,800.24/x
  3. Step 3: Cross multiply
    2,744.39x = 3,785.51 × 1,800.24
  4. Step 4: Simplify right side
    2,744.39x = 6,814,826.52
  5. Step 5: Solve for x
    x = 6,814,826.52/2,744.39
  6. Step 6: Final answer
    x = 2,483.18

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