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Finding the Fourth Proportional to 2,188.13, 3,282.20 and 889.70

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Solution

The fourth proportional to 2,188.13, 3,282.20 and 889.70 is: 1,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.13 : 3,282.20 = 889.70 : x
  2. Step 2: Convert to fraction form
    2,188.13/3,282.20 = 889.70/x
  3. Step 3: Cross multiply
    2,188.13x = 3,282.20 × 889.70
  4. Step 4: Simplify right side
    2,188.13x = 2,920,173.34
  5. Step 5: Solve for x
    x = 2,920,173.34/2,188.13
  6. Step 6: Final answer
    x = 1,334.55

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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.