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Finding the Fourth Proportional to 2,267.49, 3,401.19 and 1,291.50

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Solution

The fourth proportional to 2,267.49, 3,401.19 and 1,291.50 is: 1,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.49 : 3,401.19 = 1,291.50 : x
  2. Step 2: Convert to fraction form
    2,267.49/3,401.19 = 1,291.50/x
  3. Step 3: Cross multiply
    2,267.49x = 3,401.19 × 1,291.50
  4. Step 4: Simplify right side
    2,267.49x = 4,392,636.89
  5. Step 5: Solve for x
    x = 4,392,636.89/2,267.49
  6. Step 6: Final answer
    x = 1,937.22

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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.