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Finding the Fourth Proportional to 3,298.59, 4,943.42 and 1,349.73

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Solution

The fourth proportional to 3,298.59, 4,943.42 and 1,349.73 is: 2,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.59 : 4,943.42 = 1,349.73 : x
  2. Step 2: Convert to fraction form
    3,298.59/4,943.42 = 1,349.73/x
  3. Step 3: Cross multiply
    3,298.59x = 4,943.42 × 1,349.73
  4. Step 4: Simplify right side
    3,298.59x = 6,672,282.28
  5. Step 5: Solve for x
    x = 6,672,282.28/3,298.59
  6. Step 6: Final answer
    x = 2,022.77

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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.