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Finding the Fourth Proportional to 1,680.81, 2,319.17 and 982.05

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Solution

The fourth proportional to 1,680.81, 2,319.17 and 982.05 is: 1,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.81 : 2,319.17 = 982.05 : x
  2. Step 2: Convert to fraction form
    1,680.81/2,319.17 = 982.05/x
  3. Step 3: Cross multiply
    1,680.81x = 2,319.17 × 982.05
  4. Step 4: Simplify right side
    1,680.81x = 2,277,529.30
  5. Step 5: Solve for x
    x = 2,277,529.30/1,680.81
  6. Step 6: Final answer
    x = 1,355.02

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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.