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Finding the Fourth Proportional to 1,944.81, 2,683.89 and 1,094.13

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Solution

The fourth proportional to 1,944.81, 2,683.89 and 1,094.13 is: 1,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.81 : 2,683.89 = 1,094.13 : x
  2. Step 2: Convert to fraction form
    1,944.81/2,683.89 = 1,094.13/x
  3. Step 3: Cross multiply
    1,944.81x = 2,683.89 × 1,094.13
  4. Step 4: Simplify right side
    1,944.81x = 2,936,524.57
  5. Step 5: Solve for x
    x = 2,936,524.57/1,944.81
  6. Step 6: Final answer
    x = 1,509.93

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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.