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Finding the Fourth Proportional to 2,674.62, 4,007.70 and 2,261.79

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Solution

The fourth proportional to 2,674.62, 4,007.70 and 2,261.79 is: 3,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.62 : 4,007.70 = 2,261.79 : x
  2. Step 2: Convert to fraction form
    2,674.62/4,007.70 = 2,261.79/x
  3. Step 3: Cross multiply
    2,674.62x = 4,007.70 × 2,261.79
  4. Step 4: Simplify right side
    2,674.62x = 9,064,575.78
  5. Step 5: Solve for x
    x = 9,064,575.78/2,674.62
  6. Step 6: Final answer
    x = 3,389.11

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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.