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Finding the Fourth Proportional to 2,762.82, 3,814.10 and 2,131.93

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Solution

The fourth proportional to 2,762.82, 3,814.10 and 2,131.93 is: 2,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.82 : 3,814.10 = 2,131.93 : x
  2. Step 2: Convert to fraction form
    2,762.82/3,814.10 = 2,131.93/x
  3. Step 3: Cross multiply
    2,762.82x = 3,814.10 × 2,131.93
  4. Step 4: Simplify right side
    2,762.82x = 8,131,390.01
  5. Step 5: Solve for x
    x = 8,131,390.01/2,762.82
  6. Step 6: Final answer
    x = 2,943.15

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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.