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Finding the Fourth Proportional to 2,186.73, 3,280.23 and 954.18

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Solution

The fourth proportional to 2,186.73, 3,280.23 and 954.18 is: 1,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.73 : 3,280.23 = 954.18 : x
  2. Step 2: Convert to fraction form
    2,186.73/3,280.23 = 954.18/x
  3. Step 3: Cross multiply
    2,186.73x = 3,280.23 × 954.18
  4. Step 4: Simplify right side
    2,186.73x = 3,129,929.86
  5. Step 5: Solve for x
    x = 3,129,929.86/2,186.73
  6. Step 6: Final answer
    x = 1,431.33

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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.