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Finding the Fourth Proportional to 2,584.59, 3,877.83 and 941.24

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Solution

The fourth proportional to 2,584.59, 3,877.83 and 941.24 is: 1,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.59 : 3,877.83 = 941.24 : x
  2. Step 2: Convert to fraction form
    2,584.59/3,877.83 = 941.24/x
  3. Step 3: Cross multiply
    2,584.59x = 3,877.83 × 941.24
  4. Step 4: Simplify right side
    2,584.59x = 3,649,949.32
  5. Step 5: Solve for x
    x = 3,649,949.32/2,584.59
  6. Step 6: Final answer
    x = 1,412.20

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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.