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Finding the Fourth Proportional to 2,361.85, 3,516.06 and 2,349.61

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Solution

The fourth proportional to 2,361.85, 3,516.06 and 2,349.61 is: 3,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.85 : 3,516.06 = 2,349.61 : x
  2. Step 2: Convert to fraction form
    2,361.85/3,516.06 = 2,349.61/x
  3. Step 3: Cross multiply
    2,361.85x = 3,516.06 × 2,349.61
  4. Step 4: Simplify right side
    2,361.85x = 8,261,369.74
  5. Step 5: Solve for x
    x = 8,261,369.74/2,361.85
  6. Step 6: Final answer
    x = 3,497.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.