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Finding the Fourth Proportional to 2,467.46, 3,700.09 and 927.38

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Solution

The fourth proportional to 2,467.46, 3,700.09 and 927.38 is: 1,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.46 : 3,700.09 = 927.38 : x
  2. Step 2: Convert to fraction form
    2,467.46/3,700.09 = 927.38/x
  3. Step 3: Cross multiply
    2,467.46x = 3,700.09 × 927.38
  4. Step 4: Simplify right side
    2,467.46x = 3,431,389.46
  5. Step 5: Solve for x
    x = 3,431,389.46/2,467.46
  6. Step 6: Final answer
    x = 1,390.66

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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.