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Finding the Fourth Proportional to 2,798.62, 4,198.53 and 1,335.76

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Solution

The fourth proportional to 2,798.62, 4,198.53 and 1,335.76 is: 2,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.62 : 4,198.53 = 1,335.76 : x
  2. Step 2: Convert to fraction form
    2,798.62/4,198.53 = 1,335.76/x
  3. Step 3: Cross multiply
    2,798.62x = 4,198.53 × 1,335.76
  4. Step 4: Simplify right side
    2,798.62x = 5,608,228.43
  5. Step 5: Solve for x
    x = 5,608,228.43/2,798.62
  6. Step 6: Final answer
    x = 2,003.93

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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.