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Finding the Fourth Proportional to 2,267.34, 3,401.19 and 624.02

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Solution

The fourth proportional to 2,267.34, 3,401.19 and 624.02 is: 936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.34 : 3,401.19 = 624.02 : x
  2. Step 2: Convert to fraction form
    2,267.34/3,401.19 = 624.02/x
  3. Step 3: Cross multiply
    2,267.34x = 3,401.19 × 624.02
  4. Step 4: Simplify right side
    2,267.34x = 2,122,393.58
  5. Step 5: Solve for x
    x = 2,122,393.58/2,267.34
  6. Step 6: Final answer
    x = 936.07

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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.