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Finding the Fourth Proportional to 3,280.74, 4,921.71 and 1,089.01

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Solution

The fourth proportional to 3,280.74, 4,921.71 and 1,089.01 is: 1,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.74 : 4,921.71 = 1,089.01 : x
  2. Step 2: Convert to fraction form
    3,280.74/4,921.71 = 1,089.01/x
  3. Step 3: Cross multiply
    3,280.74x = 4,921.71 × 1,089.01
  4. Step 4: Simplify right side
    3,280.74x = 5,359,791.41
  5. Step 5: Solve for x
    x = 5,359,791.41/3,280.74
  6. Step 6: Final answer
    x = 1,633.71

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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.