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Finding the Fourth Proportional to 3,196.92, 4,411.50 and 1,870.44

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Solution

The fourth proportional to 3,196.92, 4,411.50 and 1,870.44 is: 2,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.92 : 4,411.50 = 1,870.44 : x
  2. Step 2: Convert to fraction form
    3,196.92/4,411.50 = 1,870.44/x
  3. Step 3: Cross multiply
    3,196.92x = 4,411.50 × 1,870.44
  4. Step 4: Simplify right side
    3,196.92x = 8,251,446.06
  5. Step 5: Solve for x
    x = 8,251,446.06/3,196.92
  6. Step 6: Final answer
    x = 2,581.06

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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.