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Finding the Fourth Proportional to 2,584.53, 3,878.82 and 1,199.43

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Solution

The fourth proportional to 2,584.53, 3,878.82 and 1,199.43 is: 1,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.53 : 3,878.82 = 1,199.43 : x
  2. Step 2: Convert to fraction form
    2,584.53/3,878.82 = 1,199.43/x
  3. Step 3: Cross multiply
    2,584.53x = 3,878.82 × 1,199.43
  4. Step 4: Simplify right side
    2,584.53x = 4,652,373.07
  5. Step 5: Solve for x
    x = 4,652,373.07/2,584.53
  6. Step 6: Final answer
    x = 1,800.08

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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.