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Finding the Fourth Proportional to 1,661.84, 2,493.31 and 839.89

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Solution

The fourth proportional to 1,661.84, 2,493.31 and 839.89 is: 1,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.84 : 2,493.31 = 839.89 : x
  2. Step 2: Convert to fraction form
    1,661.84/2,493.31 = 839.89/x
  3. Step 3: Cross multiply
    1,661.84x = 2,493.31 × 839.89
  4. Step 4: Simplify right side
    1,661.84x = 2,094,106.14
  5. Step 5: Solve for x
    x = 2,094,106.14/1,661.84
  6. Step 6: Final answer
    x = 1,260.11

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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.