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Finding the Fourth Proportional to 2,801.66, 4,202.00 and 1,046.27

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Solution

The fourth proportional to 2,801.66, 4,202.00 and 1,046.27 is: 1,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.66 : 4,202.00 = 1,046.27 : x
  2. Step 2: Convert to fraction form
    2,801.66/4,202.00 = 1,046.27/x
  3. Step 3: Cross multiply
    2,801.66x = 4,202.00 × 1,046.27
  4. Step 4: Simplify right side
    2,801.66x = 4,396,421.31
  5. Step 5: Solve for x
    x = 4,396,421.31/2,801.66
  6. Step 6: Final answer
    x = 1,569.22

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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.