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Finding the Fourth Proportional to 2,121.18, 3,179.46 and 889.26

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Solution

The fourth proportional to 2,121.18, 3,179.46 and 889.26 is: 1,332.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.18 : 3,179.46 = 889.26 : x
  2. Step 2: Convert to fraction form
    2,121.18/3,179.46 = 889.26/x
  3. Step 3: Cross multiply
    2,121.18x = 3,179.46 × 889.26
  4. Step 4: Simplify right side
    2,121.18x = 2,827,366.60
  5. Step 5: Solve for x
    x = 2,827,366.60/2,121.18
  6. Step 6: Final answer
    x = 1,332.92

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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.