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Finding the Fourth Proportional to 2,798.08, 3,861.18 and 1,538.88

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Solution

The fourth proportional to 2,798.08, 3,861.18 and 1,538.88 is: 2,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.08 : 3,861.18 = 1,538.88 : x
  2. Step 2: Convert to fraction form
    2,798.08/3,861.18 = 1,538.88/x
  3. Step 3: Cross multiply
    2,798.08x = 3,861.18 × 1,538.88
  4. Step 4: Simplify right side
    2,798.08x = 5,941,892.68
  5. Step 5: Solve for x
    x = 5,941,892.68/2,798.08
  6. Step 6: Final answer
    x = 2,123.56

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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.