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Finding the Fourth Proportional to 2,016.70, 3,025.25 and 976.96

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Solution

The fourth proportional to 2,016.70, 3,025.25 and 976.96 is: 1,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.70 : 3,025.25 = 976.96 : x
  2. Step 2: Convert to fraction form
    2,016.70/3,025.25 = 976.96/x
  3. Step 3: Cross multiply
    2,016.70x = 3,025.25 × 976.96
  4. Step 4: Simplify right side
    2,016.70x = 2,955,550.80
  5. Step 5: Solve for x
    x = 2,955,550.80/2,016.70
  6. Step 6: Final answer
    x = 1,465.54

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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.