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Finding the Fourth Proportional to 2,656.38, 3,984.88 and 1,195.35

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Solution

The fourth proportional to 2,656.38, 3,984.88 and 1,195.35 is: 1,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.38 : 3,984.88 = 1,195.35 : x
  2. Step 2: Convert to fraction form
    2,656.38/3,984.88 = 1,195.35/x
  3. Step 3: Cross multiply
    2,656.38x = 3,984.88 × 1,195.35
  4. Step 4: Simplify right side
    2,656.38x = 4,763,326.31
  5. Step 5: Solve for x
    x = 4,763,326.31/2,656.38
  6. Step 6: Final answer
    x = 1,793.16

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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.