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Finding the Fourth Proportional to 2,267.32, 3,400.98 and 624.04

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Solution

The fourth proportional to 2,267.32, 3,400.98 and 624.04 is: 936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.32 : 3,400.98 = 624.04 : x
  2. Step 2: Convert to fraction form
    2,267.32/3,400.98 = 624.04/x
  3. Step 3: Cross multiply
    2,267.32x = 3,400.98 × 624.04
  4. Step 4: Simplify right side
    2,267.32x = 2,122,347.56
  5. Step 5: Solve for x
    x = 2,122,347.56/2,267.32
  6. Step 6: Final answer
    x = 936.06

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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.