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Finding the Fourth Proportional to 2,814.48, 3,881.70 and 2,150.28

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Solution

The fourth proportional to 2,814.48, 3,881.70 and 2,150.28 is: 2,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.48 : 3,881.70 = 2,150.28 : x
  2. Step 2: Convert to fraction form
    2,814.48/3,881.70 = 2,150.28/x
  3. Step 3: Cross multiply
    2,814.48x = 3,881.70 × 2,150.28
  4. Step 4: Simplify right side
    2,814.48x = 8,346,741.88
  5. Step 5: Solve for x
    x = 8,346,741.88/2,814.48
  6. Step 6: Final answer
    x = 2,965.64

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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.