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Finding the Fourth Proportional to 2,217.58, 3,326.37 and 984.99

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Solution

The fourth proportional to 2,217.58, 3,326.37 and 984.99 is: 1,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.58 : 3,326.37 = 984.99 : x
  2. Step 2: Convert to fraction form
    2,217.58/3,326.37 = 984.99/x
  3. Step 3: Cross multiply
    2,217.58x = 3,326.37 × 984.99
  4. Step 4: Simplify right side
    2,217.58x = 3,276,449.97
  5. Step 5: Solve for x
    x = 3,276,449.97/2,217.58
  6. Step 6: Final answer
    x = 1,477.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.