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Finding the Fourth Proportional to 2,467.57, 3,699.67 and 927.25

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Solution

The fourth proportional to 2,467.57, 3,699.67 and 927.25 is: 1,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.57 : 3,699.67 = 927.25 : x
  2. Step 2: Convert to fraction form
    2,467.57/3,699.67 = 927.25/x
  3. Step 3: Cross multiply
    2,467.57x = 3,699.67 × 927.25
  4. Step 4: Simplify right side
    2,467.57x = 3,430,519.01
  5. Step 5: Solve for x
    x = 3,430,519.01/2,467.57
  6. Step 6: Final answer
    x = 1,390.24

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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.