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Finding the Fourth Proportional to 2,220.84, 3,326.94 and 1,449

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Solution

The fourth proportional to 2,220.84, 3,326.94 and 1,449 is: 2,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.84 : 3,326.94 = 1,449 : x
  2. Step 2: Convert to fraction form
    2,220.84/3,326.94 = 1,449/x
  3. Step 3: Cross multiply
    2,220.84x = 3,326.94 × 1,449
  4. Step 4: Simplify right side
    2,220.84x = 4,820,736.06
  5. Step 5: Solve for x
    x = 4,820,736.06/2,220.84
  6. Step 6: Final answer
    x = 2,170.68

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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.