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Finding the Fourth Proportional to 3,196.65, 4,411.21 and 1,799.49

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Solution

The fourth proportional to 3,196.65, 4,411.21 and 1,799.49 is: 2,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.65 : 4,411.21 = 1,799.49 : x
  2. Step 2: Convert to fraction form
    3,196.65/4,411.21 = 1,799.49/x
  3. Step 3: Cross multiply
    3,196.65x = 4,411.21 × 1,799.49
  4. Step 4: Simplify right side
    3,196.65x = 7,937,928.28
  5. Step 5: Solve for x
    x = 7,937,928.28/3,196.65
  6. Step 6: Final answer
    x = 2,483.20

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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.