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Finding the Fourth Proportional to 3,297.68, 4,943.40 and 1,651.76

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Solution

The fourth proportional to 3,297.68, 4,943.40 and 1,651.76 is: 2,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.68 : 4,943.40 = 1,651.76 : x
  2. Step 2: Convert to fraction form
    3,297.68/4,943.40 = 1,651.76/x
  3. Step 3: Cross multiply
    3,297.68x = 4,943.40 × 1,651.76
  4. Step 4: Simplify right side
    3,297.68x = 8,165,310.38
  5. Step 5: Solve for x
    x = 8,165,310.38/3,297.68
  6. Step 6: Final answer
    x = 2,476.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.