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Finding the Fourth Proportional to 2,155.92, 3,233.76 and 696.12

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Solution

The fourth proportional to 2,155.92, 3,233.76 and 696.12 is: 1,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.92 : 3,233.76 = 696.12 : x
  2. Step 2: Convert to fraction form
    2,155.92/3,233.76 = 696.12/x
  3. Step 3: Cross multiply
    2,155.92x = 3,233.76 × 696.12
  4. Step 4: Simplify right side
    2,155.92x = 2,251,085.01
  5. Step 5: Solve for x
    x = 2,251,085.01/2,155.92
  6. Step 6: Final answer
    x = 1,044.14

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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.