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Finding the Fourth Proportional to 2,150.46, 2,967.71 and 1,206.23

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Solution

The fourth proportional to 2,150.46, 2,967.71 and 1,206.23 is: 1,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.46 : 2,967.71 = 1,206.23 : x
  2. Step 2: Convert to fraction form
    2,150.46/2,967.71 = 1,206.23/x
  3. Step 3: Cross multiply
    2,150.46x = 2,967.71 × 1,206.23
  4. Step 4: Simplify right side
    2,150.46x = 3,579,719.96
  5. Step 5: Solve for x
    x = 3,579,719.96/2,150.46
  6. Step 6: Final answer
    x = 1,664.63

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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.