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Finding the Fourth Proportional to 2,155.06, 3,233 and 693.82

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Solution

The fourth proportional to 2,155.06, 3,233 and 693.82 is: 1,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.06 : 3,233 = 693.82 : x
  2. Step 2: Convert to fraction form
    2,155.06/3,233 = 693.82/x
  3. Step 3: Cross multiply
    2,155.06x = 3,233 × 693.82
  4. Step 4: Simplify right side
    2,155.06x = 2,243,120.06
  5. Step 5: Solve for x
    x = 2,243,120.06/2,155.06
  6. Step 6: Final answer
    x = 1,040.86

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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.