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Finding the Fourth Proportional to 3,298.43, 4,946.02 and 1,837.19

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Solution

The fourth proportional to 3,298.43, 4,946.02 and 1,837.19 is: 2,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.43 : 4,946.02 = 1,837.19 : x
  2. Step 2: Convert to fraction form
    3,298.43/4,946.02 = 1,837.19/x
  3. Step 3: Cross multiply
    3,298.43x = 4,946.02 × 1,837.19
  4. Step 4: Simplify right side
    3,298.43x = 9,086,778.48
  5. Step 5: Solve for x
    x = 9,086,778.48/3,298.43
  6. Step 6: Final answer
    x = 2,754.88

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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.