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Finding the Fourth Proportional to 2,814.24, 4,221.42 and 965.34

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Solution

The fourth proportional to 2,814.24, 4,221.42 and 965.34 is: 1,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.24 : 4,221.42 = 965.34 : x
  2. Step 2: Convert to fraction form
    2,814.24/4,221.42 = 965.34/x
  3. Step 3: Cross multiply
    2,814.24x = 4,221.42 × 965.34
  4. Step 4: Simplify right side
    2,814.24x = 4,075,105.58
  5. Step 5: Solve for x
    x = 4,075,105.58/2,814.24
  6. Step 6: Final answer
    x = 1,448.03

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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.