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Finding the Fourth Proportional to 2,737.62, 4,105.62 and 889.00

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Solution

The fourth proportional to 2,737.62, 4,105.62 and 889.00 is: 1,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.62 : 4,105.62 = 889.00 : x
  2. Step 2: Convert to fraction form
    2,737.62/4,105.62 = 889.00/x
  3. Step 3: Cross multiply
    2,737.62x = 4,105.62 × 889.00
  4. Step 4: Simplify right side
    2,737.62x = 3,649,885.92
  5. Step 5: Solve for x
    x = 3,649,885.92/2,737.62
  6. Step 6: Final answer
    x = 1,333.23

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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.