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Finding the Fourth Proportional to 1,776.62, 2,665.49 and 737.11

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Solution

The fourth proportional to 1,776.62, 2,665.49 and 737.11 is: 1,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.62 : 2,665.49 = 737.11 : x
  2. Step 2: Convert to fraction form
    1,776.62/2,665.49 = 737.11/x
  3. Step 3: Cross multiply
    1,776.62x = 2,665.49 × 737.11
  4. Step 4: Simplify right side
    1,776.62x = 1,964,758.98
  5. Step 5: Solve for x
    x = 1,964,758.98/1,776.62
  6. Step 6: Final answer
    x = 1,105.90

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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.