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Finding the Fourth Proportional to 1,796.86, 2,474.31 and 1,666.18

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Solution

The fourth proportional to 1,796.86, 2,474.31 and 1,666.18 is: 2,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.86 : 2,474.31 = 1,666.18 : x
  2. Step 2: Convert to fraction form
    1,796.86/2,474.31 = 1,666.18/x
  3. Step 3: Cross multiply
    1,796.86x = 2,474.31 × 1,666.18
  4. Step 4: Simplify right side
    1,796.86x = 4,122,645.84
  5. Step 5: Solve for x
    x = 4,122,645.84/1,796.86
  6. Step 6: Final answer
    x = 2,294.36

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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.