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Finding the Fourth Proportional to 1,447.71, 2,163.50 and 1,078.35

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Solution

The fourth proportional to 1,447.71, 2,163.50 and 1,078.35 is: 1,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.71 : 2,163.50 = 1,078.35 : x
  2. Step 2: Convert to fraction form
    1,447.71/2,163.50 = 1,078.35/x
  3. Step 3: Cross multiply
    1,447.71x = 2,163.50 × 1,078.35
  4. Step 4: Simplify right side
    1,447.71x = 2,333,004.83
  5. Step 5: Solve for x
    x = 2,333,004.83/1,447.71
  6. Step 6: Final answer
    x = 1,611.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.