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Finding the Fourth Proportional to 2,532.85, 3,800.97 and 889.40

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Solution

The fourth proportional to 2,532.85, 3,800.97 and 889.40 is: 1,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.85 : 3,800.97 = 889.40 : x
  2. Step 2: Convert to fraction form
    2,532.85/3,800.97 = 889.40/x
  3. Step 3: Cross multiply
    2,532.85x = 3,800.97 × 889.40
  4. Step 4: Simplify right side
    2,532.85x = 3,380,582.72
  5. Step 5: Solve for x
    x = 3,380,582.72/2,532.85
  6. Step 6: Final answer
    x = 1,334.70

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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.