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Finding the Fourth Proportional to 2,797.88, 3,861.09 and 1,538.90

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Solution

The fourth proportional to 2,797.88, 3,861.09 and 1,538.90 is: 2,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.88 : 3,861.09 = 1,538.90 : x
  2. Step 2: Convert to fraction form
    2,797.88/3,861.09 = 1,538.90/x
  3. Step 3: Cross multiply
    2,797.88x = 3,861.09 × 1,538.90
  4. Step 4: Simplify right side
    2,797.88x = 5,941,812.10
  5. Step 5: Solve for x
    x = 5,941,812.10/2,797.88
  6. Step 6: Final answer
    x = 2,123.69

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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.