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Finding the Fourth Proportional to 3,280.96, 4,919.62 and 1,088.49

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Solution

The fourth proportional to 3,280.96, 4,919.62 and 1,088.49 is: 1,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.96 : 4,919.62 = 1,088.49 : x
  2. Step 2: Convert to fraction form
    3,280.96/4,919.62 = 1,088.49/x
  3. Step 3: Cross multiply
    3,280.96x = 4,919.62 × 1,088.49
  4. Step 4: Simplify right side
    3,280.96x = 5,354,957.17
  5. Step 5: Solve for x
    x = 5,354,957.17/3,280.96
  6. Step 6: Final answer
    x = 1,632.13

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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.