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Finding the Fourth Proportional to 3,424.82, 4,726.46 and 1,932.19

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Solution

The fourth proportional to 3,424.82, 4,726.46 and 1,932.19 is: 2,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.82 : 4,726.46 = 1,932.19 : x
  2. Step 2: Convert to fraction form
    3,424.82/4,726.46 = 1,932.19/x
  3. Step 3: Cross multiply
    3,424.82x = 4,726.46 × 1,932.19
  4. Step 4: Simplify right side
    3,424.82x = 9,132,400.89
  5. Step 5: Solve for x
    x = 9,132,400.89/3,424.82
  6. Step 6: Final answer
    x = 2,666.54

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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.