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Finding the Fourth Proportional to 3,282.71, 4,924.13 and 1,091.45

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Solution

The fourth proportional to 3,282.71, 4,924.13 and 1,091.45 is: 1,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.71 : 4,924.13 = 1,091.45 : x
  2. Step 2: Convert to fraction form
    3,282.71/4,924.13 = 1,091.45/x
  3. Step 3: Cross multiply
    3,282.71x = 4,924.13 × 1,091.45
  4. Step 4: Simplify right side
    3,282.71x = 5,374,448.54
  5. Step 5: Solve for x
    x = 5,374,448.54/3,282.71
  6. Step 6: Final answer
    x = 1,637.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.