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Finding the Fourth Proportional to 2,150.30, 2,967.45 and 1,206.30

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Solution

The fourth proportional to 2,150.30, 2,967.45 and 1,206.30 is: 1,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.30 : 2,967.45 = 1,206.30 : x
  2. Step 2: Convert to fraction form
    2,150.30/2,967.45 = 1,206.30/x
  3. Step 3: Cross multiply
    2,150.30x = 2,967.45 × 1,206.30
  4. Step 4: Simplify right side
    2,150.30x = 3,579,630.41
  5. Step 5: Solve for x
    x = 3,579,630.41/2,150.30
  6. Step 6: Final answer
    x = 1,664.71

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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.