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Finding the Fourth Proportional to 2,584.35, 3,877.02 and 1,103.55

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Solution

The fourth proportional to 2,584.35, 3,877.02 and 1,103.55 is: 1,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.35 : 3,877.02 = 1,103.55 : x
  2. Step 2: Convert to fraction form
    2,584.35/3,877.02 = 1,103.55/x
  3. Step 3: Cross multiply
    2,584.35x = 3,877.02 × 1,103.55
  4. Step 4: Simplify right side
    2,584.35x = 4,278,485.42
  5. Step 5: Solve for x
    x = 4,278,485.42/2,584.35
  6. Step 6: Final answer
    x = 1,655.54

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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.