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Finding the Fourth Proportional to 2,778.32, 3,824.34 and 2,515.88

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Solution

The fourth proportional to 2,778.32, 3,824.34 and 2,515.88 is: 3,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.32 : 3,824.34 = 2,515.88 : x
  2. Step 2: Convert to fraction form
    2,778.32/3,824.34 = 2,515.88/x
  3. Step 3: Cross multiply
    2,778.32x = 3,824.34 × 2,515.88
  4. Step 4: Simplify right side
    2,778.32x = 9,621,580.52
  5. Step 5: Solve for x
    x = 9,621,580.52/2,778.32
  6. Step 6: Final answer
    x = 3,463.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.