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Finding the Fourth Proportional to 2,772.76, 3,824.73 and 1,652.95

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Solution

The fourth proportional to 2,772.76, 3,824.73 and 1,652.95 is: 2,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.76 : 3,824.73 = 1,652.95 : x
  2. Step 2: Convert to fraction form
    2,772.76/3,824.73 = 1,652.95/x
  3. Step 3: Cross multiply
    2,772.76x = 3,824.73 × 1,652.95
  4. Step 4: Simplify right side
    2,772.76x = 6,322,087.45
  5. Step 5: Solve for x
    x = 6,322,087.45/2,772.76
  6. Step 6: Final answer
    x = 2,280.07

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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.