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Finding the Fourth Proportional to 2,755.14, 4,131.23 and 999.87

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Solution

The fourth proportional to 2,755.14, 4,131.23 and 999.87 is: 1,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.14 : 4,131.23 = 999.87 : x
  2. Step 2: Convert to fraction form
    2,755.14/4,131.23 = 999.87/x
  3. Step 3: Cross multiply
    2,755.14x = 4,131.23 × 999.87
  4. Step 4: Simplify right side
    2,755.14x = 4,130,687.94
  5. Step 5: Solve for x
    x = 4,130,687.94/2,755.14
  6. Step 6: Final answer
    x = 1,499.27

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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.