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Finding the Fourth Proportional to 2,196.10, 3,294.15 and 657.10

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Solution

The fourth proportional to 2,196.10, 3,294.15 and 657.10 is: 985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.10 : 3,294.15 = 657.10 : x
  2. Step 2: Convert to fraction form
    2,196.10/3,294.15 = 657.10/x
  3. Step 3: Cross multiply
    2,196.10x = 3,294.15 × 657.10
  4. Step 4: Simplify right side
    2,196.10x = 2,164,585.97
  5. Step 5: Solve for x
    x = 2,164,585.97/2,196.10
  6. Step 6: Final answer
    x = 985.65

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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.