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Finding the Fourth Proportional to 2,016.92, 3,025.74 and 719.30

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Solution

The fourth proportional to 2,016.92, 3,025.74 and 719.30 is: 1,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.92 : 3,025.74 = 719.30 : x
  2. Step 2: Convert to fraction form
    2,016.92/3,025.74 = 719.30/x
  3. Step 3: Cross multiply
    2,016.92x = 3,025.74 × 719.30
  4. Step 4: Simplify right side
    2,016.92x = 2,176,414.78
  5. Step 5: Solve for x
    x = 2,176,414.78/2,016.92
  6. Step 6: Final answer
    x = 1,079.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.