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Finding the Fourth Proportional to 2,195.96, 3,030.49 and 1,201.22

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Solution

The fourth proportional to 2,195.96, 3,030.49 and 1,201.22 is: 1,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.96 : 3,030.49 = 1,201.22 : x
  2. Step 2: Convert to fraction form
    2,195.96/3,030.49 = 1,201.22/x
  3. Step 3: Cross multiply
    2,195.96x = 3,030.49 × 1,201.22
  4. Step 4: Simplify right side
    2,195.96x = 3,640,285.20
  5. Step 5: Solve for x
    x = 3,640,285.20/2,195.96
  6. Step 6: Final answer
    x = 1,657.72

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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.