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Finding the Fourth Proportional to 2,259.80, 3,390.56 and 1,163.46

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Solution

The fourth proportional to 2,259.80, 3,390.56 and 1,163.46 is: 1,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.80 : 3,390.56 = 1,163.46 : x
  2. Step 2: Convert to fraction form
    2,259.80/3,390.56 = 1,163.46/x
  3. Step 3: Cross multiply
    2,259.80x = 3,390.56 × 1,163.46
  4. Step 4: Simplify right side
    2,259.80x = 3,944,792.20
  5. Step 5: Solve for x
    x = 3,944,792.20/2,259.80
  6. Step 6: Final answer
    x = 1,745.64

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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.