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Finding the Fourth Proportional to 2,120.18, 3,177.90 and 887.22

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Solution

The fourth proportional to 2,120.18, 3,177.90 and 887.22 is: 1,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.18 : 3,177.90 = 887.22 : x
  2. Step 2: Convert to fraction form
    2,120.18/3,177.90 = 887.22/x
  3. Step 3: Cross multiply
    2,120.18x = 3,177.90 × 887.22
  4. Step 4: Simplify right side
    2,120.18x = 2,819,496.44
  5. Step 5: Solve for x
    x = 2,819,496.44/2,120.18
  6. Step 6: Final answer
    x = 1,329.84

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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.