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Finding the Fourth Proportional to 2,801.64, 4,200.39 and 952.26

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Solution

The fourth proportional to 2,801.64, 4,200.39 and 952.26 is: 1,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.64 : 4,200.39 = 952.26 : x
  2. Step 2: Convert to fraction form
    2,801.64/4,200.39 = 952.26/x
  3. Step 3: Cross multiply
    2,801.64x = 4,200.39 × 952.26
  4. Step 4: Simplify right side
    2,801.64x = 3,999,863.38
  5. Step 5: Solve for x
    x = 3,999,863.38/2,801.64
  6. Step 6: Final answer
    x = 1,427.69

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