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Finding the Fourth Proportional to 3,048.82, 4,578.10 and 1,901.86

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Solution

The fourth proportional to 3,048.82, 4,578.10 and 1,901.86 is: 2,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.82 : 4,578.10 = 1,901.86 : x
  2. Step 2: Convert to fraction form
    3,048.82/4,578.10 = 1,901.86/x
  3. Step 3: Cross multiply
    3,048.82x = 4,578.10 × 1,901.86
  4. Step 4: Simplify right side
    3,048.82x = 8,706,905.27
  5. Step 5: Solve for x
    x = 8,706,905.27/3,048.82
  6. Step 6: Final answer
    x = 2,855.83

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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.