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Finding the Fourth Proportional to 2,196.33, 3,293.85 and 880.08

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Solution

The fourth proportional to 2,196.33, 3,293.85 and 880.08 is: 1,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.33 : 3,293.85 = 880.08 : x
  2. Step 2: Convert to fraction form
    2,196.33/3,293.85 = 880.08/x
  3. Step 3: Cross multiply
    2,196.33x = 3,293.85 × 880.08
  4. Step 4: Simplify right side
    2,196.33x = 2,898,851.51
  5. Step 5: Solve for x
    x = 2,898,851.51/2,196.33
  6. Step 6: Final answer
    x = 1,319.86

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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.