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Finding the Fourth Proportional to 2,463.74, 3,695.73 and 2,361.98

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Solution

The fourth proportional to 2,463.74, 3,695.73 and 2,361.98 is: 3,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.74 : 3,695.73 = 2,361.98 : x
  2. Step 2: Convert to fraction form
    2,463.74/3,695.73 = 2,361.98/x
  3. Step 3: Cross multiply
    2,463.74x = 3,695.73 × 2,361.98
  4. Step 4: Simplify right side
    2,463.74x = 8,729,240.35
  5. Step 5: Solve for x
    x = 8,729,240.35/2,463.74
  6. Step 6: Final answer
    x = 3,543.09

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Why These Related Problems?

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