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Finding the Fourth Proportional to 2,504.93, 3,755.50 and 1,517.54

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Solution

The fourth proportional to 2,504.93, 3,755.50 and 1,517.54 is: 2,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.93 : 3,755.50 = 1,517.54 : x
  2. Step 2: Convert to fraction form
    2,504.93/3,755.50 = 1,517.54/x
  3. Step 3: Cross multiply
    2,504.93x = 3,755.50 × 1,517.54
  4. Step 4: Simplify right side
    2,504.93x = 5,699,121.47
  5. Step 5: Solve for x
    x = 5,699,121.47/2,504.93
  6. Step 6: Final answer
    x = 2,275.16

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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.