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Finding the Fourth Proportional to 2,120.16, 3,179.63 and 887.54

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Solution

The fourth proportional to 2,120.16, 3,179.63 and 887.54 is: 1,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.16 : 3,179.63 = 887.54 : x
  2. Step 2: Convert to fraction form
    2,120.16/3,179.63 = 887.54/x
  3. Step 3: Cross multiply
    2,120.16x = 3,179.63 × 887.54
  4. Step 4: Simplify right side
    2,120.16x = 2,822,028.47
  5. Step 5: Solve for x
    x = 2,822,028.47/2,120.16
  6. Step 6: Final answer
    x = 1,331.05

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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.