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Finding the Fourth Proportional to 1,952.37, 2,694.06 and 1,112.81

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Solution

The fourth proportional to 1,952.37, 2,694.06 and 1,112.81 is: 1,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.37 : 2,694.06 = 1,112.81 : x
  2. Step 2: Convert to fraction form
    1,952.37/2,694.06 = 1,112.81/x
  3. Step 3: Cross multiply
    1,952.37x = 2,694.06 × 1,112.81
  4. Step 4: Simplify right side
    1,952.37x = 2,997,963.44
  5. Step 5: Solve for x
    x = 2,997,963.44/1,952.37
  6. Step 6: Final answer
    x = 1,535.55

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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.