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Finding the Fourth Proportional to 2,463.42, 3,399.46 and 1,415.46

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Solution

The fourth proportional to 2,463.42, 3,399.46 and 1,415.46 is: 1,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.42 : 3,399.46 = 1,415.46 : x
  2. Step 2: Convert to fraction form
    2,463.42/3,399.46 = 1,415.46/x
  3. Step 3: Cross multiply
    2,463.42x = 3,399.46 × 1,415.46
  4. Step 4: Simplify right side
    2,463.42x = 4,811,799.65
  5. Step 5: Solve for x
    x = 4,811,799.65/2,463.42
  6. Step 6: Final answer
    x = 1,953.30

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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.