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Finding the Fourth Proportional to 2,945.83, 4,418.41 and 754.57

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Solution

The fourth proportional to 2,945.83, 4,418.41 and 754.57 is: 1,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.83 : 4,418.41 = 754.57 : x
  2. Step 2: Convert to fraction form
    2,945.83/4,418.41 = 754.57/x
  3. Step 3: Cross multiply
    2,945.83x = 4,418.41 × 754.57
  4. Step 4: Simplify right side
    2,945.83x = 3,333,995.86
  5. Step 5: Solve for x
    x = 3,333,995.86/2,945.83
  6. Step 6: Final answer
    x = 1,131.77

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