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Finding the Fourth Proportional to 2,584.85, 3,877.88 and 1,199.14

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Solution

The fourth proportional to 2,584.85, 3,877.88 and 1,199.14 is: 1,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.85 : 3,877.88 = 1,199.14 : x
  2. Step 2: Convert to fraction form
    2,584.85/3,877.88 = 1,199.14/x
  3. Step 3: Cross multiply
    2,584.85x = 3,877.88 × 1,199.14
  4. Step 4: Simplify right side
    2,584.85x = 4,650,105.33
  5. Step 5: Solve for x
    x = 4,650,105.33/2,584.85
  6. Step 6: Final answer
    x = 1,798.99

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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.