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Finding the Fourth Proportional to 2,194.50, 3,293.48 and 962.76

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Solution

The fourth proportional to 2,194.50, 3,293.48 and 962.76 is: 1,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.50 : 3,293.48 = 962.76 : x
  2. Step 2: Convert to fraction form
    2,194.50/3,293.48 = 962.76/x
  3. Step 3: Cross multiply
    2,194.50x = 3,293.48 × 962.76
  4. Step 4: Simplify right side
    2,194.50x = 3,170,829.60
  5. Step 5: Solve for x
    x = 3,170,829.60/2,194.50
  6. Step 6: Final answer
    x = 1,444.90

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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.