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Finding the Fourth Proportional to 1,680.22, 2,318.66 and 934.12

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Solution

The fourth proportional to 1,680.22, 2,318.66 and 934.12 is: 1,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.22 : 2,318.66 = 934.12 : x
  2. Step 2: Convert to fraction form
    1,680.22/2,318.66 = 934.12/x
  3. Step 3: Cross multiply
    1,680.22x = 2,318.66 × 934.12
  4. Step 4: Simplify right side
    1,680.22x = 2,165,906.68
  5. Step 5: Solve for x
    x = 2,165,906.68/1,680.22
  6. Step 6: Final answer
    x = 1,289.06

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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.