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Finding the Fourth Proportional to 2,201.90, 3,289.95 and 2,125.34

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Solution

The fourth proportional to 2,201.90, 3,289.95 and 2,125.34 is: 3,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.90 : 3,289.95 = 2,125.34 : x
  2. Step 2: Convert to fraction form
    2,201.90/3,289.95 = 2,125.34/x
  3. Step 3: Cross multiply
    2,201.90x = 3,289.95 × 2,125.34
  4. Step 4: Simplify right side
    2,201.90x = 6,992,251.71
  5. Step 5: Solve for x
    x = 6,992,251.71/2,201.90
  6. Step 6: Final answer
    x = 3,175.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.