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Finding the Fourth Proportional to 2,366.25, 3,548.27 and 805.83

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Solution

The fourth proportional to 2,366.25, 3,548.27 and 805.83 is: 1,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.25 : 3,548.27 = 805.83 : x
  2. Step 2: Convert to fraction form
    2,366.25/3,548.27 = 805.83/x
  3. Step 3: Cross multiply
    2,366.25x = 3,548.27 × 805.83
  4. Step 4: Simplify right side
    2,366.25x = 2,859,317.73
  5. Step 5: Solve for x
    x = 2,859,317.73/2,366.25
  6. Step 6: Final answer
    x = 1,208.37

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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.