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Finding the Fourth Proportional to 2,194.59, 3,292.35 and 896.06

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Solution

The fourth proportional to 2,194.59, 3,292.35 and 896.06 is: 1,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.59 : 3,292.35 = 896.06 : x
  2. Step 2: Convert to fraction form
    2,194.59/3,292.35 = 896.06/x
  3. Step 3: Cross multiply
    2,194.59x = 3,292.35 × 896.06
  4. Step 4: Simplify right side
    2,194.59x = 2,950,148.01
  5. Step 5: Solve for x
    x = 2,950,148.01/2,194.59
  6. Step 6: Final answer
    x = 1,344.28

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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.