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Finding the Fourth Proportional to 2,351.97, 3,243.24 and 1,564.65

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Solution

The fourth proportional to 2,351.97, 3,243.24 and 1,564.65 is: 2,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.97 : 3,243.24 = 1,564.65 : x
  2. Step 2: Convert to fraction form
    2,351.97/3,243.24 = 1,564.65/x
  3. Step 3: Cross multiply
    2,351.97x = 3,243.24 × 1,564.65
  4. Step 4: Simplify right side
    2,351.97x = 5,074,535.47
  5. Step 5: Solve for x
    x = 5,074,535.47/2,351.97
  6. Step 6: Final answer
    x = 2,157.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.