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Finding the Fourth Proportional to 2,217.50, 3,326.26 and 919.02

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Solution

The fourth proportional to 2,217.50, 3,326.26 and 919.02 is: 1,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.50 : 3,326.26 = 919.02 : x
  2. Step 2: Convert to fraction form
    2,217.50/3,326.26 = 919.02/x
  3. Step 3: Cross multiply
    2,217.50x = 3,326.26 × 919.02
  4. Step 4: Simplify right side
    2,217.50x = 3,056,899.47
  5. Step 5: Solve for x
    x = 3,056,899.47/2,217.50
  6. Step 6: Final answer
    x = 1,378.53

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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.