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Finding the Fourth Proportional to 2,120.17, 3,179.86 and 887.24

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Solution

The fourth proportional to 2,120.17, 3,179.86 and 887.24 is: 1,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.17 : 3,179.86 = 887.24 : x
  2. Step 2: Convert to fraction form
    2,120.17/3,179.86 = 887.24/x
  3. Step 3: Cross multiply
    2,120.17x = 3,179.86 × 887.24
  4. Step 4: Simplify right side
    2,120.17x = 2,821,298.99
  5. Step 5: Solve for x
    x = 2,821,298.99/2,120.17
  6. Step 6: Final answer
    x = 1,330.69

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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.