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Finding the Fourth Proportional to 1,843.29, 2,541.92 and 1,564.29

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Solution

The fourth proportional to 1,843.29, 2,541.92 and 1,564.29 is: 2,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.29 : 2,541.92 = 1,564.29 : x
  2. Step 2: Convert to fraction form
    1,843.29/2,541.92 = 1,564.29/x
  3. Step 3: Cross multiply
    1,843.29x = 2,541.92 × 1,564.29
  4. Step 4: Simplify right side
    1,843.29x = 3,976,287.33
  5. Step 5: Solve for x
    x = 3,976,287.33/1,843.29
  6. Step 6: Final answer
    x = 2,157.17

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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.