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Finding the Fourth Proportional to 3,223.85, 4,449.09 and 1,807.46

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Solution

The fourth proportional to 3,223.85, 4,449.09 and 1,807.46 is: 2,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.85 : 4,449.09 = 1,807.46 : x
  2. Step 2: Convert to fraction form
    3,223.85/4,449.09 = 1,807.46/x
  3. Step 3: Cross multiply
    3,223.85x = 4,449.09 × 1,807.46
  4. Step 4: Simplify right side
    3,223.85x = 8,041,552.21
  5. Step 5: Solve for x
    x = 8,041,552.21/3,223.85
  6. Step 6: Final answer
    x = 2,494.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.