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Finding the Fourth Proportional to 2,666.06, 3,999.42 and 1,431.78

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Solution

The fourth proportional to 2,666.06, 3,999.42 and 1,431.78 is: 2,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.06 : 3,999.42 = 1,431.78 : x
  2. Step 2: Convert to fraction form
    2,666.06/3,999.42 = 1,431.78/x
  3. Step 3: Cross multiply
    2,666.06x = 3,999.42 × 1,431.78
  4. Step 4: Simplify right side
    2,666.06x = 5,726,262.41
  5. Step 5: Solve for x
    x = 5,726,262.41/2,666.06
  6. Step 6: Final answer
    x = 2,147.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.