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Finding the Fourth Proportional to 2,192.57, 3,288.72 and 894.01

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Solution

The fourth proportional to 2,192.57, 3,288.72 and 894.01 is: 1,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.57 : 3,288.72 = 894.01 : x
  2. Step 2: Convert to fraction form
    2,192.57/3,288.72 = 894.01/x
  3. Step 3: Cross multiply
    2,192.57x = 3,288.72 × 894.01
  4. Step 4: Simplify right side
    2,192.57x = 2,940,132.12
  5. Step 5: Solve for x
    x = 2,940,132.12/2,192.57
  6. Step 6: Final answer
    x = 1,340.95

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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.