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Finding the Fourth Proportional to 2,551.59, 3,824.12 and 2,221.18

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Solution

The fourth proportional to 2,551.59, 3,824.12 and 2,221.18 is: 3,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.59 : 3,824.12 = 2,221.18 : x
  2. Step 2: Convert to fraction form
    2,551.59/3,824.12 = 2,221.18/x
  3. Step 3: Cross multiply
    2,551.59x = 3,824.12 × 2,221.18
  4. Step 4: Simplify right side
    2,551.59x = 8,494,054.85
  5. Step 5: Solve for x
    x = 8,494,054.85/2,551.59
  6. Step 6: Final answer
    x = 3,328.93

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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.