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Finding the Fourth Proportional to 2,259.96, 3,389.40 and 1,163.76

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Solution

The fourth proportional to 2,259.96, 3,389.40 and 1,163.76 is: 1,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.96 : 3,389.40 = 1,163.76 : x
  2. Step 2: Convert to fraction form
    2,259.96/3,389.40 = 1,163.76/x
  3. Step 3: Cross multiply
    2,259.96x = 3,389.40 × 1,163.76
  4. Step 4: Simplify right side
    2,259.96x = 3,944,448.14
  5. Step 5: Solve for x
    x = 3,944,448.14/2,259.96
  6. Step 6: Final answer
    x = 1,745.36

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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.