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Finding the Fourth Proportional to 2,093.73, 2,892.72 and 1,782.28

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Solution

The fourth proportional to 2,093.73, 2,892.72 and 1,782.28 is: 2,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.73 : 2,892.72 = 1,782.28 : x
  2. Step 2: Convert to fraction form
    2,093.73/2,892.72 = 1,782.28/x
  3. Step 3: Cross multiply
    2,093.73x = 2,892.72 × 1,782.28
  4. Step 4: Simplify right side
    2,093.73x = 5,155,637.00
  5. Step 5: Solve for x
    x = 5,155,637.00/2,093.73
  6. Step 6: Final answer
    x = 2,462.42

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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.