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Finding the Fourth Proportional to 2,089.09, 3,133.83 and 773.19

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Solution

The fourth proportional to 2,089.09, 3,133.83 and 773.19 is: 1,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.09 : 3,133.83 = 773.19 : x
  2. Step 2: Convert to fraction form
    2,089.09/3,133.83 = 773.19/x
  3. Step 3: Cross multiply
    2,089.09x = 3,133.83 × 773.19
  4. Step 4: Simplify right side
    2,089.09x = 2,423,046.02
  5. Step 5: Solve for x
    x = 2,423,046.02/2,089.09
  6. Step 6: Final answer
    x = 1,159.86

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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.