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Finding the Fourth Proportional to 2,243.52, 3,365.27 and 782.31

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Solution

The fourth proportional to 2,243.52, 3,365.27 and 782.31 is: 1,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.52 : 3,365.27 = 782.31 : x
  2. Step 2: Convert to fraction form
    2,243.52/3,365.27 = 782.31/x
  3. Step 3: Cross multiply
    2,243.52x = 3,365.27 × 782.31
  4. Step 4: Simplify right side
    2,243.52x = 2,632,680.46
  5. Step 5: Solve for x
    x = 2,632,680.46/2,243.52
  6. Step 6: Final answer
    x = 1,173.46

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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.