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Finding the Fourth Proportional to 2,684.26, 4,028.01 and 952.75

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Solution

The fourth proportional to 2,684.26, 4,028.01 and 952.75 is: 1,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.26 : 4,028.01 = 952.75 : x
  2. Step 2: Convert to fraction form
    2,684.26/4,028.01 = 952.75/x
  3. Step 3: Cross multiply
    2,684.26x = 4,028.01 × 952.75
  4. Step 4: Simplify right side
    2,684.26x = 3,837,686.53
  5. Step 5: Solve for x
    x = 3,837,686.53/2,684.26
  6. Step 6: Final answer
    x = 1,429.70

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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.