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Finding the Fourth Proportional to 2,150.29, 2,967.23 and 1,205.95

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Solution

The fourth proportional to 2,150.29, 2,967.23 and 1,205.95 is: 1,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.29 : 2,967.23 = 1,205.95 : x
  2. Step 2: Convert to fraction form
    2,150.29/2,967.23 = 1,205.95/x
  3. Step 3: Cross multiply
    2,150.29x = 2,967.23 × 1,205.95
  4. Step 4: Simplify right side
    2,150.29x = 3,578,331.02
  5. Step 5: Solve for x
    x = 3,578,331.02/2,150.29
  6. Step 6: Final answer
    x = 1,664.12

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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.