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Finding the Fourth Proportional to 2,801.58, 4,202.43 and 952.75

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Solution

The fourth proportional to 2,801.58, 4,202.43 and 952.75 is: 1,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.58 : 4,202.43 = 952.75 : x
  2. Step 2: Convert to fraction form
    2,801.58/4,202.43 = 952.75/x
  3. Step 3: Cross multiply
    2,801.58x = 4,202.43 × 952.75
  4. Step 4: Simplify right side
    2,801.58x = 4,003,865.18
  5. Step 5: Solve for x
    x = 4,003,865.18/2,801.58
  6. Step 6: Final answer
    x = 1,429.15

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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.