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Finding the Fourth Proportional to 2,194.75, 3,292.49 and 962.13

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Solution

The fourth proportional to 2,194.75, 3,292.49 and 962.13 is: 1,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.75 : 3,292.49 = 962.13 : x
  2. Step 2: Convert to fraction form
    2,194.75/3,292.49 = 962.13/x
  3. Step 3: Cross multiply
    2,194.75x = 3,292.49 × 962.13
  4. Step 4: Simplify right side
    2,194.75x = 3,167,803.40
  5. Step 5: Solve for x
    x = 3,167,803.40/2,194.75
  6. Step 6: Final answer
    x = 1,443.36

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