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Finding the Fourth Proportional to 2,224.90, 3,342.83 and 1,675.42

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Solution

The fourth proportional to 2,224.90, 3,342.83 and 1,675.42 is: 2,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.90 : 3,342.83 = 1,675.42 : x
  2. Step 2: Convert to fraction form
    2,224.90/3,342.83 = 1,675.42/x
  3. Step 3: Cross multiply
    2,224.90x = 3,342.83 × 1,675.42
  4. Step 4: Simplify right side
    2,224.90x = 5,600,627.50
  5. Step 5: Solve for x
    x = 5,600,627.50/2,224.90
  6. Step 6: Final answer
    x = 2,517.25

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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.