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Finding the Fourth Proportional to 2,196.98, 3,294.95 and 636.56

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Solution

The fourth proportional to 2,196.98, 3,294.95 and 636.56 is: 954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.98 : 3,294.95 = 636.56 : x
  2. Step 2: Convert to fraction form
    2,196.98/3,294.95 = 636.56/x
  3. Step 3: Cross multiply
    2,196.98x = 3,294.95 × 636.56
  4. Step 4: Simplify right side
    2,196.98x = 2,097,440.02
  5. Step 5: Solve for x
    x = 2,097,440.02/2,196.98
  6. Step 6: Final answer
    x = 954.69

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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.