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Finding the Fourth Proportional to 2,194.59, 3,292.02 and 962.10

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Solution

The fourth proportional to 2,194.59, 3,292.02 and 962.10 is: 1,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.59 : 3,292.02 = 962.10 : x
  2. Step 2: Convert to fraction form
    2,194.59/3,292.02 = 962.10/x
  3. Step 3: Cross multiply
    2,194.59x = 3,292.02 × 962.10
  4. Step 4: Simplify right side
    2,194.59x = 3,167,252.44
  5. Step 5: Solve for x
    x = 3,167,252.44/2,194.59
  6. Step 6: Final answer
    x = 1,443.21

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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.