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Finding the Fourth Proportional to 2,463.63, 3,399.82 and 1,415.63

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Solution

The fourth proportional to 2,463.63, 3,399.82 and 1,415.63 is: 1,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.63 : 3,399.82 = 1,415.63 : x
  2. Step 2: Convert to fraction form
    2,463.63/3,399.82 = 1,415.63/x
  3. Step 3: Cross multiply
    2,463.63x = 3,399.82 × 1,415.63
  4. Step 4: Simplify right side
    2,463.63x = 4,812,866.65
  5. Step 5: Solve for x
    x = 4,812,866.65/2,463.63
  6. Step 6: Final answer
    x = 1,953.57

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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.