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Finding the Fourth Proportional to 1,932.54, 2,667.50 and 1,187.58

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Solution

The fourth proportional to 1,932.54, 2,667.50 and 1,187.58 is: 1,639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.54 : 2,667.50 = 1,187.58 : x
  2. Step 2: Convert to fraction form
    1,932.54/2,667.50 = 1,187.58/x
  3. Step 3: Cross multiply
    1,932.54x = 2,667.50 × 1,187.58
  4. Step 4: Simplify right side
    1,932.54x = 3,167,869.65
  5. Step 5: Solve for x
    x = 3,167,869.65/1,932.54
  6. Step 6: Final answer
    x = 1,639.23

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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.