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Finding the Fourth Proportional to 2,196.01, 3,292.79 and 962.78

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Solution

The fourth proportional to 2,196.01, 3,292.79 and 962.78 is: 1,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.01 : 3,292.79 = 962.78 : x
  2. Step 2: Convert to fraction form
    2,196.01/3,292.79 = 962.78/x
  3. Step 3: Cross multiply
    2,196.01x = 3,292.79 × 962.78
  4. Step 4: Simplify right side
    2,196.01x = 3,170,232.36
  5. Step 5: Solve for x
    x = 3,170,232.36/2,196.01
  6. Step 6: Final answer
    x = 1,443.64

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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.