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Finding the Fourth Proportional to 3,220.09, 4,829.81 and 880.31

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Solution

The fourth proportional to 3,220.09, 4,829.81 and 880.31 is: 1,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.09 : 4,829.81 = 880.31 : x
  2. Step 2: Convert to fraction form
    3,220.09/4,829.81 = 880.31/x
  3. Step 3: Cross multiply
    3,220.09x = 4,829.81 × 880.31
  4. Step 4: Simplify right side
    3,220.09x = 4,251,712.42
  5. Step 5: Solve for x
    x = 4,251,712.42/3,220.09
  6. Step 6: Final answer
    x = 1,320.37

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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.