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Finding the Fourth Proportional to 3,442.05, 5,163.10 and 844.99

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Solution

The fourth proportional to 3,442.05, 5,163.10 and 844.99 is: 1,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.05 : 5,163.10 = 844.99 : x
  2. Step 2: Convert to fraction form
    3,442.05/5,163.10 = 844.99/x
  3. Step 3: Cross multiply
    3,442.05x = 5,163.10 × 844.99
  4. Step 4: Simplify right side
    3,442.05x = 4,362,737.83
  5. Step 5: Solve for x
    x = 4,362,737.83/3,442.05
  6. Step 6: Final answer
    x = 1,267.48

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1.5x scale

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.