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Finding the Fourth Proportional to 2,073.82, 3,111.54 and 775.39

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Solution

The fourth proportional to 2,073.82, 3,111.54 and 775.39 is: 1,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.82 : 3,111.54 = 775.39 : x
  2. Step 2: Convert to fraction form
    2,073.82/3,111.54 = 775.39/x
  3. Step 3: Cross multiply
    2,073.82x = 3,111.54 × 775.39
  4. Step 4: Simplify right side
    2,073.82x = 2,412,657.00
  5. Step 5: Solve for x
    x = 2,412,657.00/2,073.82
  6. Step 6: Final answer
    x = 1,163.39

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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.