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Finding the Fourth Proportional to 2,164.01, 2,986.37 and 1,206.95

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Solution

The fourth proportional to 2,164.01, 2,986.37 and 1,206.95 is: 1,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.01 : 2,986.37 = 1,206.95 : x
  2. Step 2: Convert to fraction form
    2,164.01/2,986.37 = 1,206.95/x
  3. Step 3: Cross multiply
    2,164.01x = 2,986.37 × 1,206.95
  4. Step 4: Simplify right side
    2,164.01x = 3,604,378.30
  5. Step 5: Solve for x
    x = 3,604,378.30/2,164.01
  6. Step 6: Final answer
    x = 1,665.61

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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.