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Finding the Fourth Proportional to 2,551.34, 3,824.58 and 818.75

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Solution

The fourth proportional to 2,551.34, 3,824.58 and 818.75 is: 1,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.34 : 3,824.58 = 818.75 : x
  2. Step 2: Convert to fraction form
    2,551.34/3,824.58 = 818.75/x
  3. Step 3: Cross multiply
    2,551.34x = 3,824.58 × 818.75
  4. Step 4: Simplify right side
    2,551.34x = 3,131,374.88
  5. Step 5: Solve for x
    x = 3,131,374.88/2,551.34
  6. Step 6: Final answer
    x = 1,227.35

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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.