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Finding the Fourth Proportional to 3,196.31, 4,410.98 and 1,799.06

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Solution

The fourth proportional to 3,196.31, 4,410.98 and 1,799.06 is: 2,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.31 : 4,410.98 = 1,799.06 : x
  2. Step 2: Convert to fraction form
    3,196.31/4,410.98 = 1,799.06/x
  3. Step 3: Cross multiply
    3,196.31x = 4,410.98 × 1,799.06
  4. Step 4: Simplify right side
    3,196.31x = 7,935,626.46
  5. Step 5: Solve for x
    x = 7,935,626.46/3,196.31
  6. Step 6: Final answer
    x = 2,482.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.