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Finding the Fourth Proportional to 3,196.32, 4,411.02 and 1,937.61

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Solution

The fourth proportional to 3,196.32, 4,411.02 and 1,937.61 is: 2,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.32 : 4,411.02 = 1,937.61 : x
  2. Step 2: Convert to fraction form
    3,196.32/4,411.02 = 1,937.61/x
  3. Step 3: Cross multiply
    3,196.32x = 4,411.02 × 1,937.61
  4. Step 4: Simplify right side
    3,196.32x = 8,546,836.46
  5. Step 5: Solve for x
    x = 8,546,836.46/3,196.32
  6. Step 6: Final answer
    x = 2,673.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.