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Finding the Fourth Proportional to 2,154.93, 3,230.42 and 839.57

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Solution

The fourth proportional to 2,154.93, 3,230.42 and 839.57 is: 1,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.93 : 3,230.42 = 839.57 : x
  2. Step 2: Convert to fraction form
    2,154.93/3,230.42 = 839.57/x
  3. Step 3: Cross multiply
    2,154.93x = 3,230.42 × 839.57
  4. Step 4: Simplify right side
    2,154.93x = 2,712,163.72
  5. Step 5: Solve for x
    x = 2,712,163.72/2,154.93
  6. Step 6: Final answer
    x = 1,258.59

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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.