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Finding the Fourth Proportional to 2,984.82, 4,479.59 and 1,320.22

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Solution

The fourth proportional to 2,984.82, 4,479.59 and 1,320.22 is: 1,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.82 : 4,479.59 = 1,320.22 : x
  2. Step 2: Convert to fraction form
    2,984.82/4,479.59 = 1,320.22/x
  3. Step 3: Cross multiply
    2,984.82x = 4,479.59 × 1,320.22
  4. Step 4: Simplify right side
    2,984.82x = 5,914,044.31
  5. Step 5: Solve for x
    x = 5,914,044.31/2,984.82
  6. Step 6: Final answer
    x = 1,981.37

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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.