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Finding the Fourth Proportional to 1,964.25, 2,709.05 and 1,177.74

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Solution

The fourth proportional to 1,964.25, 2,709.05 and 1,177.74 is: 1,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.25 : 2,709.05 = 1,177.74 : x
  2. Step 2: Convert to fraction form
    1,964.25/2,709.05 = 1,177.74/x
  3. Step 3: Cross multiply
    1,964.25x = 2,709.05 × 1,177.74
  4. Step 4: Simplify right side
    1,964.25x = 3,190,550.66
  5. Step 5: Solve for x
    x = 3,190,550.66/1,964.25
  6. Step 6: Final answer
    x = 1,624.31

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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.