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Finding the Fourth Proportional to 2,016.92, 3,025.75 and 700.62

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Solution

The fourth proportional to 2,016.92, 3,025.75 and 700.62 is: 1,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.92 : 3,025.75 = 700.62 : x
  2. Step 2: Convert to fraction form
    2,016.92/3,025.75 = 700.62/x
  3. Step 3: Cross multiply
    2,016.92x = 3,025.75 × 700.62
  4. Step 4: Simplify right side
    2,016.92x = 2,119,885.84
  5. Step 5: Solve for x
    x = 2,119,885.84/2,016.92
  6. Step 6: Final answer
    x = 1,051.05

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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.