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Finding the Fourth Proportional to 2,122.11, 3,182.90 and 889.29

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Solution

The fourth proportional to 2,122.11, 3,182.90 and 889.29 is: 1,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.11 : 3,182.90 = 889.29 : x
  2. Step 2: Convert to fraction form
    2,122.11/3,182.90 = 889.29/x
  3. Step 3: Cross multiply
    2,122.11x = 3,182.90 × 889.29
  4. Step 4: Simplify right side
    2,122.11x = 2,830,516.69
  5. Step 5: Solve for x
    x = 2,830,516.69/2,122.11
  6. Step 6: Final answer
    x = 1,333.82

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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.