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Finding the Fourth Proportional to 2,120.92, 3,178.38 and 887.56

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Solution

The fourth proportional to 2,120.92, 3,178.38 and 887.56 is: 1,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.92 : 3,178.38 = 887.56 : x
  2. Step 2: Convert to fraction form
    2,120.92/3,178.38 = 887.56/x
  3. Step 3: Cross multiply
    2,120.92x = 3,178.38 × 887.56
  4. Step 4: Simplify right side
    2,120.92x = 2,821,002.95
  5. Step 5: Solve for x
    x = 2,821,002.95/2,120.92
  6. Step 6: Final answer
    x = 1,330.08

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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.