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Finding the Fourth Proportional to 2,194.14, 3,291.86 and 734.32

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Solution

The fourth proportional to 2,194.14, 3,291.86 and 734.32 is: 1,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.14 : 3,291.86 = 734.32 : x
  2. Step 2: Convert to fraction form
    2,194.14/3,291.86 = 734.32/x
  3. Step 3: Cross multiply
    2,194.14x = 3,291.86 × 734.32
  4. Step 4: Simplify right side
    2,194.14x = 2,417,278.64
  5. Step 5: Solve for x
    x = 2,417,278.64/2,194.14
  6. Step 6: Final answer
    x = 1,101.70

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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.