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Finding the Fourth Proportional to 2,801.28, 4,201.83 and 953.31

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Solution

The fourth proportional to 2,801.28, 4,201.83 and 953.31 is: 1,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.28 : 4,201.83 = 953.31 : x
  2. Step 2: Convert to fraction form
    2,801.28/4,201.83 = 953.31/x
  3. Step 3: Cross multiply
    2,801.28x = 4,201.83 × 953.31
  4. Step 4: Simplify right side
    2,801.28x = 4,005,646.56
  5. Step 5: Solve for x
    x = 4,005,646.56/2,801.28
  6. Step 6: Final answer
    x = 1,429.93

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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.