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Finding the Fourth Proportional to 2,463.41, 3,697.83 and 2,454.27

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Solution

The fourth proportional to 2,463.41, 3,697.83 and 2,454.27 is: 3,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.41 : 3,697.83 = 2,454.27 : x
  2. Step 2: Convert to fraction form
    2,463.41/3,697.83 = 2,454.27/x
  3. Step 3: Cross multiply
    2,463.41x = 3,697.83 × 2,454.27
  4. Step 4: Simplify right side
    2,463.41x = 9,075,473.23
  5. Step 5: Solve for x
    x = 9,075,473.23/2,463.41
  6. Step 6: Final answer
    x = 3,684.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.