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Finding the Fourth Proportional to 2,292.71, 3,163.84 and 1,284.51

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Solution

The fourth proportional to 2,292.71, 3,163.84 and 1,284.51 is: 1,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.71 : 3,163.84 = 1,284.51 : x
  2. Step 2: Convert to fraction form
    2,292.71/3,163.84 = 1,284.51/x
  3. Step 3: Cross multiply
    2,292.71x = 3,163.84 × 1,284.51
  4. Step 4: Simplify right side
    2,292.71x = 4,063,971.51
  5. Step 5: Solve for x
    x = 4,063,971.51/2,292.71
  6. Step 6: Final answer
    x = 1,772.56

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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.