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Finding the Fourth Proportional to 2,666.50, 3,679.93 and 1,471.48

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Solution

The fourth proportional to 2,666.50, 3,679.93 and 1,471.48 is: 2,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.50 : 3,679.93 = 1,471.48 : x
  2. Step 2: Convert to fraction form
    2,666.50/3,679.93 = 1,471.48/x
  3. Step 3: Cross multiply
    2,666.50x = 3,679.93 × 1,471.48
  4. Step 4: Simplify right side
    2,666.50x = 5,414,936.04
  5. Step 5: Solve for x
    x = 5,414,936.04/2,666.50
  6. Step 6: Final answer
    x = 2,030.73

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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.