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Finding the Fourth Proportional to 2,798.86, 4,199.24 and 1,238.65

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Solution

The fourth proportional to 2,798.86, 4,199.24 and 1,238.65 is: 1,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.86 : 4,199.24 = 1,238.65 : x
  2. Step 2: Convert to fraction form
    2,798.86/4,199.24 = 1,238.65/x
  3. Step 3: Cross multiply
    2,798.86x = 4,199.24 × 1,238.65
  4. Step 4: Simplify right side
    2,798.86x = 5,201,393.03
  5. Step 5: Solve for x
    x = 5,201,393.03/2,798.86
  6. Step 6: Final answer
    x = 1,858.40

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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.