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Finding the Fourth Proportional to 2,109.94, 2,911.73 and 1,178.44

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Solution

The fourth proportional to 2,109.94, 2,911.73 and 1,178.44 is: 1,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.94 : 2,911.73 = 1,178.44 : x
  2. Step 2: Convert to fraction form
    2,109.94/2,911.73 = 1,178.44/x
  3. Step 3: Cross multiply
    2,109.94x = 2,911.73 × 1,178.44
  4. Step 4: Simplify right side
    2,109.94x = 3,431,285.93
  5. Step 5: Solve for x
    x = 3,431,285.93/2,109.94
  6. Step 6: Final answer
    x = 1,626.25

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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.