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Finding the Fourth Proportional to 4,267.76, 6,401.43 and 1,494.38

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Solution

The fourth proportional to 4,267.76, 6,401.43 and 1,494.38 is: 2,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.76 : 6,401.43 = 1,494.38 : x
  2. Step 2: Convert to fraction form
    4,267.76/6,401.43 = 1,494.38/x
  3. Step 3: Cross multiply
    4,267.76x = 6,401.43 × 1,494.38
  4. Step 4: Simplify right side
    4,267.76x = 9,566,184.97
  5. Step 5: Solve for x
    x = 9,566,184.97/4,267.76
  6. Step 6: Final answer
    x = 2,241.50

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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.