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Finding the Fourth Proportional to 2,674.42, 4,011.32 and 726.77

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Solution

The fourth proportional to 2,674.42, 4,011.32 and 726.77 is: 1,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.42 : 4,011.32 = 726.77 : x
  2. Step 2: Convert to fraction form
    2,674.42/4,011.32 = 726.77/x
  3. Step 3: Cross multiply
    2,674.42x = 4,011.32 × 726.77
  4. Step 4: Simplify right side
    2,674.42x = 2,915,318.88
  5. Step 5: Solve for x
    x = 2,915,318.88/2,674.42
  6. Step 6: Final answer
    x = 1,090.08

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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.