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Finding the Fourth Proportional to 2,194.30, 3,291.45 and 550.90

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Solution

The fourth proportional to 2,194.30, 3,291.45 and 550.90 is: 826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.30 : 3,291.45 = 550.90 : x
  2. Step 2: Convert to fraction form
    2,194.30/3,291.45 = 550.90/x
  3. Step 3: Cross multiply
    2,194.30x = 3,291.45 × 550.90
  4. Step 4: Simplify right side
    2,194.30x = 1,813,259.81
  5. Step 5: Solve for x
    x = 1,813,259.81/2,194.30
  6. Step 6: Final answer
    x = 826.35

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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.