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Finding the Fourth Proportional to 2,462.57, 3,398.76 and 2,351.84

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Solution

The fourth proportional to 2,462.57, 3,398.76 and 2,351.84 is: 3,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.57 : 3,398.76 = 2,351.84 : x
  2. Step 2: Convert to fraction form
    2,462.57/3,398.76 = 2,351.84/x
  3. Step 3: Cross multiply
    2,462.57x = 3,398.76 × 2,351.84
  4. Step 4: Simplify right side
    2,462.57x = 7,993,322.72
  5. Step 5: Solve for x
    x = 7,993,322.72/2,462.57
  6. Step 6: Final answer
    x = 3,245.93

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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.