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Finding the Fourth Proportional to 2,194.36, 3,292.14 and 896.74

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Solution

The fourth proportional to 2,194.36, 3,292.14 and 896.74 is: 1,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.36 : 3,292.14 = 896.74 : x
  2. Step 2: Convert to fraction form
    2,194.36/3,292.14 = 896.74/x
  3. Step 3: Cross multiply
    2,194.36x = 3,292.14 × 896.74
  4. Step 4: Simplify right side
    2,194.36x = 2,952,188.76
  5. Step 5: Solve for x
    x = 2,952,188.76/2,194.36
  6. Step 6: Final answer
    x = 1,345.35

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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.