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Finding the Fourth Proportional to 4,240.71, 6,361.38 and 1,319.22

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Solution

The fourth proportional to 4,240.71, 6,361.38 and 1,319.22 is: 1,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.71 : 6,361.38 = 1,319.22 : x
  2. Step 2: Convert to fraction form
    4,240.71/6,361.38 = 1,319.22/x
  3. Step 3: Cross multiply
    4,240.71x = 6,361.38 × 1,319.22
  4. Step 4: Simplify right side
    4,240.71x = 8,392,059.72
  5. Step 5: Solve for x
    x = 8,392,059.72/4,240.71
  6. Step 6: Final answer
    x = 1,978.93

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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.