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Finding the Fourth Proportional to 2,194.83, 3,292.55 and 810.10

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Solution

The fourth proportional to 2,194.83, 3,292.55 and 810.10 is: 1,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.83 : 3,292.55 = 810.10 : x
  2. Step 2: Convert to fraction form
    2,194.83/3,292.55 = 810.10/x
  3. Step 3: Cross multiply
    2,194.83x = 3,292.55 × 810.10
  4. Step 4: Simplify right side
    2,194.83x = 2,667,297.86
  5. Step 5: Solve for x
    x = 2,667,297.86/2,194.83
  6. Step 6: Final answer
    x = 1,215.26

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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.