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Finding the Fourth Proportional to 3,197, 4,412.04 and 1,799.84

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Solution

The fourth proportional to 3,197, 4,412.04 and 1,799.84 is: 2,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197 : 4,412.04 = 1,799.84 : x
  2. Step 2: Convert to fraction form
    3,197/4,412.04 = 1,799.84/x
  3. Step 3: Cross multiply
    3,197x = 4,412.04 × 1,799.84
  4. Step 4: Simplify right side
    3,197x = 7,940,966.07
  5. Step 5: Solve for x
    x = 7,940,966.07/3,197
  6. Step 6: Final answer
    x = 2,483.88

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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.