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Finding the Fourth Proportional to 2,111.81, 2,914.13 and 1,180.13

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Solution

The fourth proportional to 2,111.81, 2,914.13 and 1,180.13 is: 1,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.81 : 2,914.13 = 1,180.13 : x
  2. Step 2: Convert to fraction form
    2,111.81/2,914.13 = 1,180.13/x
  3. Step 3: Cross multiply
    2,111.81x = 2,914.13 × 1,180.13
  4. Step 4: Simplify right side
    2,111.81x = 3,439,040.62
  5. Step 5: Solve for x
    x = 3,439,040.62/2,111.81
  6. Step 6: Final answer
    x = 1,628.48

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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.