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Finding the Fourth Proportional to 3,284.52, 4,919.49 and 1,549.50

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Solution

The fourth proportional to 3,284.52, 4,919.49 and 1,549.50 is: 2,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.52 : 4,919.49 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    3,284.52/4,919.49 = 1,549.50/x
  3. Step 3: Cross multiply
    3,284.52x = 4,919.49 × 1,549.50
  4. Step 4: Simplify right side
    3,284.52x = 7,622,749.76
  5. Step 5: Solve for x
    x = 7,622,749.76/3,284.52
  6. Step 6: Final answer
    x = 2,320.81

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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.