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Finding the Fourth Proportional to 2,132.08, 3,194.04 and 1,310.64

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Solution

The fourth proportional to 2,132.08, 3,194.04 and 1,310.64 is: 1,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.08 : 3,194.04 = 1,310.64 : x
  2. Step 2: Convert to fraction form
    2,132.08/3,194.04 = 1,310.64/x
  3. Step 3: Cross multiply
    2,132.08x = 3,194.04 × 1,310.64
  4. Step 4: Simplify right side
    2,132.08x = 4,186,236.59
  5. Step 5: Solve for x
    x = 4,186,236.59/2,132.08
  6. Step 6: Final answer
    x = 1,963.45

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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.