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Finding the Fourth Proportional to 1,474.77, 2,213.57 and 927.32

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Solution

The fourth proportional to 1,474.77, 2,213.57 and 927.32 is: 1,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.77 : 2,213.57 = 927.32 : x
  2. Step 2: Convert to fraction form
    1,474.77/2,213.57 = 927.32/x
  3. Step 3: Cross multiply
    1,474.77x = 2,213.57 × 927.32
  4. Step 4: Simplify right side
    1,474.77x = 2,052,678.98
  5. Step 5: Solve for x
    x = 2,052,678.98/1,474.77
  6. Step 6: Final answer
    x = 1,391.86

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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.