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Finding the Fourth Proportional to 2,217.62, 3,326.40 and 984.71

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Solution

The fourth proportional to 2,217.62, 3,326.40 and 984.71 is: 1,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.62 : 3,326.40 = 984.71 : x
  2. Step 2: Convert to fraction form
    2,217.62/3,326.40 = 984.71/x
  3. Step 3: Cross multiply
    2,217.62x = 3,326.40 × 984.71
  4. Step 4: Simplify right side
    2,217.62x = 3,275,522.71
  5. Step 5: Solve for x
    x = 3,275,522.71/2,217.62
  6. Step 6: Final answer
    x = 1,477.05

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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.