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Finding the Fourth Proportional to 2,196.04, 3,293.52 and 657.04

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Solution

The fourth proportional to 2,196.04, 3,293.52 and 657.04 is: 985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.04 : 3,293.52 = 657.04 : x
  2. Step 2: Convert to fraction form
    2,196.04/3,293.52 = 657.04/x
  3. Step 3: Cross multiply
    2,196.04x = 3,293.52 × 657.04
  4. Step 4: Simplify right side
    2,196.04x = 2,163,974.38
  5. Step 5: Solve for x
    x = 2,163,974.38/2,196.04
  6. Step 6: Final answer
    x = 985.40

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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.