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Finding the Fourth Proportional to 2,016.82, 3,025.50 and 978.67

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Solution

The fourth proportional to 2,016.82, 3,025.50 and 978.67 is: 1,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.82 : 3,025.50 = 978.67 : x
  2. Step 2: Convert to fraction form
    2,016.82/3,025.50 = 978.67/x
  3. Step 3: Cross multiply
    2,016.82x = 3,025.50 × 978.67
  4. Step 4: Simplify right side
    2,016.82x = 2,960,966.09
  5. Step 5: Solve for x
    x = 2,960,966.09/2,016.82
  6. Step 6: Final answer
    x = 1,468.14

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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.