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Finding the Fourth Proportional to 2,003.60, 2,766.48 and 1,826.48

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Solution

The fourth proportional to 2,003.60, 2,766.48 and 1,826.48 is: 2,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.60 : 2,766.48 = 1,826.48 : x
  2. Step 2: Convert to fraction form
    2,003.60/2,766.48 = 1,826.48/x
  3. Step 3: Cross multiply
    2,003.60x = 2,766.48 × 1,826.48
  4. Step 4: Simplify right side
    2,003.60x = 5,052,920.39
  5. Step 5: Solve for x
    x = 5,052,920.39/2,003.60
  6. Step 6: Final answer
    x = 2,521.92

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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.