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Finding the Fourth Proportional to 2,280.74, 3,424.95 and 2,163.83

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Solution

The fourth proportional to 2,280.74, 3,424.95 and 2,163.83 is: 3,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.74 : 3,424.95 = 2,163.83 : x
  2. Step 2: Convert to fraction form
    2,280.74/3,424.95 = 2,163.83/x
  3. Step 3: Cross multiply
    2,280.74x = 3,424.95 × 2,163.83
  4. Step 4: Simplify right side
    2,280.74x = 7,411,009.56
  5. Step 5: Solve for x
    x = 7,411,009.56/2,280.74
  6. Step 6: Final answer
    x = 3,249.39

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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.