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Finding the Fourth Proportional to 1,790.89, 2,471.42 and 994.25

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Solution

The fourth proportional to 1,790.89, 2,471.42 and 994.25 is: 1,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.89 : 2,471.42 = 994.25 : x
  2. Step 2: Convert to fraction form
    1,790.89/2,471.42 = 994.25/x
  3. Step 3: Cross multiply
    1,790.89x = 2,471.42 × 994.25
  4. Step 4: Simplify right side
    1,790.89x = 2,457,218.00
  5. Step 5: Solve for x
    x = 2,457,218.00/1,790.89
  6. Step 6: Final answer
    x = 1,372.07

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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.