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Finding the Fourth Proportional to 1,429.02, 2,144.34 and 813.42

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Solution

The fourth proportional to 1,429.02, 2,144.34 and 813.42 is: 1,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.02 : 2,144.34 = 813.42 : x
  2. Step 2: Convert to fraction form
    1,429.02/2,144.34 = 813.42/x
  3. Step 3: Cross multiply
    1,429.02x = 2,144.34 × 813.42
  4. Step 4: Simplify right side
    1,429.02x = 1,744,249.04
  5. Step 5: Solve for x
    x = 1,744,249.04/1,429.02
  6. Step 6: Final answer
    x = 1,220.59

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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.