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Finding the Fourth Proportional to 1,966.25, 2,711.81 and 1,179.74

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Solution

The fourth proportional to 1,966.25, 2,711.81 and 1,179.74 is: 1,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.25 : 2,711.81 = 1,179.74 : x
  2. Step 2: Convert to fraction form
    1,966.25/2,711.81 = 1,179.74/x
  3. Step 3: Cross multiply
    1,966.25x = 2,711.81 × 1,179.74
  4. Step 4: Simplify right side
    1,966.25x = 3,199,224.83
  5. Step 5: Solve for x
    x = 3,199,224.83/1,966.25
  6. Step 6: Final answer
    x = 1,627.07

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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.