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Finding the Fourth Proportional to 2,116.92, 3,175.79 and 1,063.29

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Solution

The fourth proportional to 2,116.92, 3,175.79 and 1,063.29 is: 1,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.92 : 3,175.79 = 1,063.29 : x
  2. Step 2: Convert to fraction form
    2,116.92/3,175.79 = 1,063.29/x
  3. Step 3: Cross multiply
    2,116.92x = 3,175.79 × 1,063.29
  4. Step 4: Simplify right side
    2,116.92x = 3,376,780.43
  5. Step 5: Solve for x
    x = 3,376,780.43/2,116.92
  6. Step 6: Final answer
    x = 1,595.14

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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.