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Finding the Fourth Proportional to 2,953.75, 4,081.41 and 2,200.53

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Solution

The fourth proportional to 2,953.75, 4,081.41 and 2,200.53 is: 3,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.75 : 4,081.41 = 2,200.53 : x
  2. Step 2: Convert to fraction form
    2,953.75/4,081.41 = 2,200.53/x
  3. Step 3: Cross multiply
    2,953.75x = 4,081.41 × 2,200.53
  4. Step 4: Simplify right side
    2,953.75x = 8,981,265.15
  5. Step 5: Solve for x
    x = 8,981,265.15/2,953.75
  6. Step 6: Final answer
    x = 3,040.63

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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.