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Finding the Fourth Proportional to 3,610.29, 4,978.65 and 2,194.20

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Solution

The fourth proportional to 3,610.29, 4,978.65 and 2,194.20 is: 3,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.29 : 4,978.65 = 2,194.20 : x
  2. Step 2: Convert to fraction form
    3,610.29/4,978.65 = 2,194.20/x
  3. Step 3: Cross multiply
    3,610.29x = 4,978.65 × 2,194.20
  4. Step 4: Simplify right side
    3,610.29x = 10,924,153.83
  5. Step 5: Solve for x
    x = 10,924,153.83/3,610.29
  6. Step 6: Final answer
    x = 3,025.84

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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.