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Finding the Fourth Proportional to 2,194.89, 3,028.92 and 1,311.87

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Solution

The fourth proportional to 2,194.89, 3,028.92 and 1,311.87 is: 1,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.89 : 3,028.92 = 1,311.87 : x
  2. Step 2: Convert to fraction form
    2,194.89/3,028.92 = 1,311.87/x
  3. Step 3: Cross multiply
    2,194.89x = 3,028.92 × 1,311.87
  4. Step 4: Simplify right side
    2,194.89x = 3,973,549.28
  5. Step 5: Solve for x
    x = 3,973,549.28/2,194.89
  6. Step 6: Final answer
    x = 1,810.36

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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.