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Finding the Fourth Proportional to 2,463.57, 3,698.60 and 1,681.11

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Solution

The fourth proportional to 2,463.57, 3,698.60 and 1,681.11 is: 2,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.57 : 3,698.60 = 1,681.11 : x
  2. Step 2: Convert to fraction form
    2,463.57/3,698.60 = 1,681.11/x
  3. Step 3: Cross multiply
    2,463.57x = 3,698.60 × 1,681.11
  4. Step 4: Simplify right side
    2,463.57x = 6,217,745.04
  5. Step 5: Solve for x
    x = 6,217,745.04/2,463.57
  6. Step 6: Final answer
    x = 2,523.88

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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.