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Finding the Fourth Proportional to 2,196.88, 3,293.30 and 881.52

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Solution

The fourth proportional to 2,196.88, 3,293.30 and 881.52 is: 1,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.88 : 3,293.30 = 881.52 : x
  2. Step 2: Convert to fraction form
    2,196.88/3,293.30 = 881.52/x
  3. Step 3: Cross multiply
    2,196.88x = 3,293.30 × 881.52
  4. Step 4: Simplify right side
    2,196.88x = 2,903,109.82
  5. Step 5: Solve for x
    x = 2,903,109.82/2,196.88
  6. Step 6: Final answer
    x = 1,321.47

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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.