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Finding the Fourth Proportional to 1,445.23, 2,167.98 and 796.42

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Solution

The fourth proportional to 1,445.23, 2,167.98 and 796.42 is: 1,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.23 : 2,167.98 = 796.42 : x
  2. Step 2: Convert to fraction form
    1,445.23/2,167.98 = 796.42/x
  3. Step 3: Cross multiply
    1,445.23x = 2,167.98 × 796.42
  4. Step 4: Simplify right side
    1,445.23x = 1,726,622.63
  5. Step 5: Solve for x
    x = 1,726,622.63/1,445.23
  6. Step 6: Final answer
    x = 1,194.70

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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.