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Finding the Fourth Proportional to 1,680.75, 2,319.09 and 981.99

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Solution

The fourth proportional to 1,680.75, 2,319.09 and 981.99 is: 1,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.75 : 2,319.09 = 981.99 : x
  2. Step 2: Convert to fraction form
    1,680.75/2,319.09 = 981.99/x
  3. Step 3: Cross multiply
    1,680.75x = 2,319.09 × 981.99
  4. Step 4: Simplify right side
    1,680.75x = 2,277,306.68
  5. Step 5: Solve for x
    x = 2,277,306.68/1,680.75
  6. Step 6: Final answer
    x = 1,354.94

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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.