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Finding the Fourth Proportional to 2,932.81, 4,047.49 and 1,936.36

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Solution

The fourth proportional to 2,932.81, 4,047.49 and 1,936.36 is: 2,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.81 : 4,047.49 = 1,936.36 : x
  2. Step 2: Convert to fraction form
    2,932.81/4,047.49 = 1,936.36/x
  3. Step 3: Cross multiply
    2,932.81x = 4,047.49 × 1,936.36
  4. Step 4: Simplify right side
    2,932.81x = 7,837,397.74
  5. Step 5: Solve for x
    x = 7,837,397.74/2,932.81
  6. Step 6: Final answer
    x = 2,672.32

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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.