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Finding the Fourth Proportional to 2,361.35, 3,257.16 and 1,863.83

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Solution

The fourth proportional to 2,361.35, 3,257.16 and 1,863.83 is: 2,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.35 : 3,257.16 = 1,863.83 : x
  2. Step 2: Convert to fraction form
    2,361.35/3,257.16 = 1,863.83/x
  3. Step 3: Cross multiply
    2,361.35x = 3,257.16 × 1,863.83
  4. Step 4: Simplify right side
    2,361.35x = 6,070,792.52
  5. Step 5: Solve for x
    x = 6,070,792.52/2,361.35
  6. Step 6: Final answer
    x = 2,570.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.