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Finding the Fourth Proportional to 2,159.96, 3,239.93 and 773.03

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Solution

The fourth proportional to 2,159.96, 3,239.93 and 773.03 is: 1,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.96 : 3,239.93 = 773.03 : x
  2. Step 2: Convert to fraction form
    2,159.96/3,239.93 = 773.03/x
  3. Step 3: Cross multiply
    2,159.96x = 3,239.93 × 773.03
  4. Step 4: Simplify right side
    2,159.96x = 2,504,543.02
  5. Step 5: Solve for x
    x = 2,504,543.02/2,159.96
  6. Step 6: Final answer
    x = 1,159.53

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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.