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Finding the Fourth Proportional to 1,550.75, 2,140.04 and 961.78

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Solution

The fourth proportional to 1,550.75, 2,140.04 and 961.78 is: 1,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.75 : 2,140.04 = 961.78 : x
  2. Step 2: Convert to fraction form
    1,550.75/2,140.04 = 961.78/x
  3. Step 3: Cross multiply
    1,550.75x = 2,140.04 × 961.78
  4. Step 4: Simplify right side
    1,550.75x = 2,058,242.86
  5. Step 5: Solve for x
    x = 2,058,242.86/1,550.75
  6. Step 6: Final answer
    x = 1,327.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.