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Finding the Fourth Proportional to 2,505.50, 3,757.94 and 1,044.46

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Solution

The fourth proportional to 2,505.50, 3,757.94 and 1,044.46 is: 1,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.50 : 3,757.94 = 1,044.46 : x
  2. Step 2: Convert to fraction form
    2,505.50/3,757.94 = 1,044.46/x
  3. Step 3: Cross multiply
    2,505.50x = 3,757.94 × 1,044.46
  4. Step 4: Simplify right side
    2,505.50x = 3,925,018.01
  5. Step 5: Solve for x
    x = 3,925,018.01/2,505.50
  6. Step 6: Final answer
    x = 1,566.56

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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.