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Finding the Fourth Proportional to 2,798.94, 4,199.76 and 1,238.76

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Solution

The fourth proportional to 2,798.94, 4,199.76 and 1,238.76 is: 1,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.94 : 4,199.76 = 1,238.76 : x
  2. Step 2: Convert to fraction form
    2,798.94/4,199.76 = 1,238.76/x
  3. Step 3: Cross multiply
    2,798.94x = 4,199.76 × 1,238.76
  4. Step 4: Simplify right side
    2,798.94x = 5,202,494.70
  5. Step 5: Solve for x
    x = 5,202,494.70/2,798.94
  6. Step 6: Final answer
    x = 1,858.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.