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Finding the Fourth Proportional to 2,267.34, 3,400.60 and 601.48

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Solution

The fourth proportional to 2,267.34, 3,400.60 and 601.48 is: 902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.34 : 3,400.60 = 601.48 : x
  2. Step 2: Convert to fraction form
    2,267.34/3,400.60 = 601.48/x
  3. Step 3: Cross multiply
    2,267.34x = 3,400.60 × 601.48
  4. Step 4: Simplify right side
    2,267.34x = 2,045,392.89
  5. Step 5: Solve for x
    x = 2,045,392.89/2,267.34
  6. Step 6: Final answer
    x = 902.11

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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.