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Finding the Fourth Proportional to 2,532.85, 3,798.05 and 889.22

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Solution

The fourth proportional to 2,532.85, 3,798.05 and 889.22 is: 1,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.85 : 3,798.05 = 889.22 : x
  2. Step 2: Convert to fraction form
    2,532.85/3,798.05 = 889.22/x
  3. Step 3: Cross multiply
    2,532.85x = 3,798.05 × 889.22
  4. Step 4: Simplify right side
    2,532.85x = 3,377,302.02
  5. Step 5: Solve for x
    x = 3,377,302.02/2,532.85
  6. Step 6: Final answer
    x = 1,333.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.