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Finding the Fourth Proportional to 3,149.84, 4,723.84 and 1,201.59

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Solution

The fourth proportional to 3,149.84, 4,723.84 and 1,201.59 is: 1,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.84 : 4,723.84 = 1,201.59 : x
  2. Step 2: Convert to fraction form
    3,149.84/4,723.84 = 1,201.59/x
  3. Step 3: Cross multiply
    3,149.84x = 4,723.84 × 1,201.59
  4. Step 4: Simplify right side
    3,149.84x = 5,676,118.91
  5. Step 5: Solve for x
    x = 5,676,118.91/3,149.84
  6. Step 6: Final answer
    x = 1,802.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.