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Finding the Fourth Proportional to 2,217.86, 3,324.70 and 985.46

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Solution

The fourth proportional to 2,217.86, 3,324.70 and 985.46 is: 1,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.86 : 3,324.70 = 985.46 : x
  2. Step 2: Convert to fraction form
    2,217.86/3,324.70 = 985.46/x
  3. Step 3: Cross multiply
    2,217.86x = 3,324.70 × 985.46
  4. Step 4: Simplify right side
    2,217.86x = 3,276,358.86
  5. Step 5: Solve for x
    x = 3,276,358.86/2,217.86
  6. Step 6: Final answer
    x = 1,477.26

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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.