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Finding the Fourth Proportional to 2,068.83, 3,101.66 and 943.29

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Solution

The fourth proportional to 2,068.83, 3,101.66 and 943.29 is: 1,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.83 : 3,101.66 = 943.29 : x
  2. Step 2: Convert to fraction form
    2,068.83/3,101.66 = 943.29/x
  3. Step 3: Cross multiply
    2,068.83x = 3,101.66 × 943.29
  4. Step 4: Simplify right side
    2,068.83x = 2,925,760.14
  5. Step 5: Solve for x
    x = 2,925,760.14/2,068.83
  6. Step 6: Final answer
    x = 1,414.21

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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.