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Finding the Fourth Proportional to 2,467.02, 3,399.12 and 1,679.70

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Solution

The fourth proportional to 2,467.02, 3,399.12 and 1,679.70 is: 2,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.02 : 3,399.12 = 1,679.70 : x
  2. Step 2: Convert to fraction form
    2,467.02/3,399.12 = 1,679.70/x
  3. Step 3: Cross multiply
    2,467.02x = 3,399.12 × 1,679.70
  4. Step 4: Simplify right side
    2,467.02x = 5,709,501.86
  5. Step 5: Solve for x
    x = 5,709,501.86/2,467.02
  6. Step 6: Final answer
    x = 2,314.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.