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Finding the Fourth Proportional to 2,504.74, 3,755.08 and 1,044.98

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Solution

The fourth proportional to 2,504.74, 3,755.08 and 1,044.98 is: 1,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.74 : 3,755.08 = 1,044.98 : x
  2. Step 2: Convert to fraction form
    2,504.74/3,755.08 = 1,044.98/x
  3. Step 3: Cross multiply
    2,504.74x = 3,755.08 × 1,044.98
  4. Step 4: Simplify right side
    2,504.74x = 3,923,983.50
  5. Step 5: Solve for x
    x = 3,923,983.50/2,504.74
  6. Step 6: Final answer
    x = 1,566.62

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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.