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Finding the Fourth Proportional to 2,194.86, 3,027.06 and 1,801.20

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Solution

The fourth proportional to 2,194.86, 3,027.06 and 1,801.20 is: 2,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.86 : 3,027.06 = 1,801.20 : x
  2. Step 2: Convert to fraction form
    2,194.86/3,027.06 = 1,801.20/x
  3. Step 3: Cross multiply
    2,194.86x = 3,027.06 × 1,801.20
  4. Step 4: Simplify right side
    2,194.86x = 5,452,340.47
  5. Step 5: Solve for x
    x = 5,452,340.47/2,194.86
  6. Step 6: Final answer
    x = 2,484.14

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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.