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Finding the Fourth Proportional to 2,292.59, 3,163.25 and 1,297.65

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Solution

The fourth proportional to 2,292.59, 3,163.25 and 1,297.65 is: 1,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.59 : 3,163.25 = 1,297.65 : x
  2. Step 2: Convert to fraction form
    2,292.59/3,163.25 = 1,297.65/x
  3. Step 3: Cross multiply
    2,292.59x = 3,163.25 × 1,297.65
  4. Step 4: Simplify right side
    2,292.59x = 4,104,806.47
  5. Step 5: Solve for x
    x = 4,104,806.47/2,292.59
  6. Step 6: Final answer
    x = 1,790.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.