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Finding the Fourth Proportional to 1,932.96, 2,667.42 and 1,146.54

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Solution

The fourth proportional to 1,932.96, 2,667.42 and 1,146.54 is: 1,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.96 : 2,667.42 = 1,146.54 : x
  2. Step 2: Convert to fraction form
    1,932.96/2,667.42 = 1,146.54/x
  3. Step 3: Cross multiply
    1,932.96x = 2,667.42 × 1,146.54
  4. Step 4: Simplify right side
    1,932.96x = 3,058,303.73
  5. Step 5: Solve for x
    x = 3,058,303.73/1,932.96
  6. Step 6: Final answer
    x = 1,582.19

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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.