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Finding the Fourth Proportional to 2,850.29, 3,933.28 and 1,655.30

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Solution

The fourth proportional to 2,850.29, 3,933.28 and 1,655.30 is: 2,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.29 : 3,933.28 = 1,655.30 : x
  2. Step 2: Convert to fraction form
    2,850.29/3,933.28 = 1,655.30/x
  3. Step 3: Cross multiply
    2,850.29x = 3,933.28 × 1,655.30
  4. Step 4: Simplify right side
    2,850.29x = 6,510,758.38
  5. Step 5: Solve for x
    x = 6,510,758.38/2,850.29
  6. Step 6: Final answer
    x = 2,284.24

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Why These Related Problems?

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