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Finding the Fourth Proportional to 2,195.86, 3,030.24 and 1,201.18

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Solution

The fourth proportional to 2,195.86, 3,030.24 and 1,201.18 is: 1,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.86 : 3,030.24 = 1,201.18 : x
  2. Step 2: Convert to fraction form
    2,195.86/3,030.24 = 1,201.18/x
  3. Step 3: Cross multiply
    2,195.86x = 3,030.24 × 1,201.18
  4. Step 4: Simplify right side
    2,195.86x = 3,639,863.68
  5. Step 5: Solve for x
    x = 3,639,863.68/2,195.86
  6. Step 6: Final answer
    x = 1,657.60

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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.