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Finding the Fourth Proportional to 2,122.86, 3,184.45 and 890.09

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Solution

The fourth proportional to 2,122.86, 3,184.45 and 890.09 is: 1,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.86 : 3,184.45 = 890.09 : x
  2. Step 2: Convert to fraction form
    2,122.86/3,184.45 = 890.09/x
  3. Step 3: Cross multiply
    2,122.86x = 3,184.45 × 890.09
  4. Step 4: Simplify right side
    2,122.86x = 2,834,447.10
  5. Step 5: Solve for x
    x = 2,834,447.10/2,122.86
  6. Step 6: Final answer
    x = 1,335.20

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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.