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Finding the Fourth Proportional to 1,666.25, 2,299.61 and 994.22

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Solution

The fourth proportional to 1,666.25, 2,299.61 and 994.22 is: 1,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.25 : 2,299.61 = 994.22 : x
  2. Step 2: Convert to fraction form
    1,666.25/2,299.61 = 994.22/x
  3. Step 3: Cross multiply
    1,666.25x = 2,299.61 × 994.22
  4. Step 4: Simplify right side
    1,666.25x = 2,286,309.24
  5. Step 5: Solve for x
    x = 2,286,309.24/1,666.25
  6. Step 6: Final answer
    x = 1,372.13

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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.