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Finding the Fourth Proportional to 2,311.54, 3,467.61 and 751.78

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Solution

The fourth proportional to 2,311.54, 3,467.61 and 751.78 is: 1,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.54 : 3,467.61 = 751.78 : x
  2. Step 2: Convert to fraction form
    2,311.54/3,467.61 = 751.78/x
  3. Step 3: Cross multiply
    2,311.54x = 3,467.61 × 751.78
  4. Step 4: Simplify right side
    2,311.54x = 2,606,884.18
  5. Step 5: Solve for x
    x = 2,606,884.18/2,311.54
  6. Step 6: Final answer
    x = 1,127.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.