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Finding the Fourth Proportional to 2,944.53, 4,065.12 and 1,825.92

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Solution

The fourth proportional to 2,944.53, 4,065.12 and 1,825.92 is: 2,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.53 : 4,065.12 = 1,825.92 : x
  2. Step 2: Convert to fraction form
    2,944.53/4,065.12 = 1,825.92/x
  3. Step 3: Cross multiply
    2,944.53x = 4,065.12 × 1,825.92
  4. Step 4: Simplify right side
    2,944.53x = 7,422,583.91
  5. Step 5: Solve for x
    x = 7,422,583.91/2,944.53
  6. Step 6: Final answer
    x = 2,520.80

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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.