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Finding the Fourth Proportional to 2,164.54, 2,986.85 and 1,280.17

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Solution

The fourth proportional to 2,164.54, 2,986.85 and 1,280.17 is: 1,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.54 : 2,986.85 = 1,280.17 : x
  2. Step 2: Convert to fraction form
    2,164.54/2,986.85 = 1,280.17/x
  3. Step 3: Cross multiply
    2,164.54x = 2,986.85 × 1,280.17
  4. Step 4: Simplify right side
    2,164.54x = 3,823,669.36
  5. Step 5: Solve for x
    x = 3,823,669.36/2,164.54
  6. Step 6: Final answer
    x = 1,766.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.