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Finding the Fourth Proportional to 2,193.54, 3,027.14 and 1,309.42

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Solution

The fourth proportional to 2,193.54, 3,027.14 and 1,309.42 is: 1,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.54 : 3,027.14 = 1,309.42 : x
  2. Step 2: Convert to fraction form
    2,193.54/3,027.14 = 1,309.42/x
  3. Step 3: Cross multiply
    2,193.54x = 3,027.14 × 1,309.42
  4. Step 4: Simplify right side
    2,193.54x = 3,963,797.66
  5. Step 5: Solve for x
    x = 3,963,797.66/2,193.54
  6. Step 6: Final answer
    x = 1,807.03

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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.