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Finding the Fourth Proportional to 2,434.26, 3,650.42 and 1,048.22

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Solution

The fourth proportional to 2,434.26, 3,650.42 and 1,048.22 is: 1,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.26 : 3,650.42 = 1,048.22 : x
  2. Step 2: Convert to fraction form
    2,434.26/3,650.42 = 1,048.22/x
  3. Step 3: Cross multiply
    2,434.26x = 3,650.42 × 1,048.22
  4. Step 4: Simplify right side
    2,434.26x = 3,826,443.25
  5. Step 5: Solve for x
    x = 3,826,443.25/2,434.26
  6. Step 6: Final answer
    x = 1,571.91

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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.