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Finding the Fourth Proportional to 2,194.29, 3,292.34 and 895.89

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Solution

The fourth proportional to 2,194.29, 3,292.34 and 895.89 is: 1,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.29 : 3,292.34 = 895.89 : x
  2. Step 2: Convert to fraction form
    2,194.29/3,292.34 = 895.89/x
  3. Step 3: Cross multiply
    2,194.29x = 3,292.34 × 895.89
  4. Step 4: Simplify right side
    2,194.29x = 2,949,570.00
  5. Step 5: Solve for x
    x = 2,949,570.00/2,194.29
  6. Step 6: Final answer
    x = 1,344.20

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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.