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Finding the Fourth Proportional to 2,463.57, 3,399.36 and 1,415.43

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Solution

The fourth proportional to 2,463.57, 3,399.36 and 1,415.43 is: 1,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.57 : 3,399.36 = 1,415.43 : x
  2. Step 2: Convert to fraction form
    2,463.57/3,399.36 = 1,415.43/x
  3. Step 3: Cross multiply
    2,463.57x = 3,399.36 × 1,415.43
  4. Step 4: Simplify right side
    2,463.57x = 4,811,556.12
  5. Step 5: Solve for x
    x = 4,811,556.12/2,463.57
  6. Step 6: Final answer
    x = 1,953.08

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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.