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Finding the Fourth Proportional to 2,149.94, 2,966.82 and 1,205.74

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Solution

The fourth proportional to 2,149.94, 2,966.82 and 1,205.74 is: 1,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.94 : 2,966.82 = 1,205.74 : x
  2. Step 2: Convert to fraction form
    2,149.94/2,966.82 = 1,205.74/x
  3. Step 3: Cross multiply
    2,149.94x = 2,966.82 × 1,205.74
  4. Step 4: Simplify right side
    2,149.94x = 3,577,213.55
  5. Step 5: Solve for x
    x = 3,577,213.55/2,149.94
  6. Step 6: Final answer
    x = 1,663.87

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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.