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Finding the Fourth Proportional to 2,814.36, 3,881.64 and 2,149.56

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Solution

The fourth proportional to 2,814.36, 3,881.64 and 2,149.56 is: 2,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.36 : 3,881.64 = 2,149.56 : x
  2. Step 2: Convert to fraction form
    2,814.36/3,881.64 = 2,149.56/x
  3. Step 3: Cross multiply
    2,814.36x = 3,881.64 × 2,149.56
  4. Step 4: Simplify right side
    2,814.36x = 8,343,818.08
  5. Step 5: Solve for x
    x = 8,343,818.08/2,814.36
  6. Step 6: Final answer
    x = 2,964.73

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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.