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Finding the Fourth Proportional to 1,936.74, 2,662.41 and 1,666.58

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Solution

The fourth proportional to 1,936.74, 2,662.41 and 1,666.58 is: 2,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.74 : 2,662.41 = 1,666.58 : x
  2. Step 2: Convert to fraction form
    1,936.74/2,662.41 = 1,666.58/x
  3. Step 3: Cross multiply
    1,936.74x = 2,662.41 × 1,666.58
  4. Step 4: Simplify right side
    1,936.74x = 4,437,105.95
  5. Step 5: Solve for x
    x = 4,437,105.95/1,936.74
  6. Step 6: Final answer
    x = 2,291.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.