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Finding the Fourth Proportional to 2,150.14, 2,967.01 and 1,205.80

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Solution

The fourth proportional to 2,150.14, 2,967.01 and 1,205.80 is: 1,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.14 : 2,967.01 = 1,205.80 : x
  2. Step 2: Convert to fraction form
    2,150.14/2,967.01 = 1,205.80/x
  3. Step 3: Cross multiply
    2,150.14x = 2,967.01 × 1,205.80
  4. Step 4: Simplify right side
    2,150.14x = 3,577,621.18
  5. Step 5: Solve for x
    x = 3,577,621.18/2,150.14
  6. Step 6: Final answer
    x = 1,663.90

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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.