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Finding the Fourth Proportional to 2,497.94, 3,450.22 and 1,871.27

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Solution

The fourth proportional to 2,497.94, 3,450.22 and 1,871.27 is: 2,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.94 : 3,450.22 = 1,871.27 : x
  2. Step 2: Convert to fraction form
    2,497.94/3,450.22 = 1,871.27/x
  3. Step 3: Cross multiply
    2,497.94x = 3,450.22 × 1,871.27
  4. Step 4: Simplify right side
    2,497.94x = 6,456,271.25
  5. Step 5: Solve for x
    x = 6,456,271.25/2,497.94
  6. Step 6: Final answer
    x = 2,584.64

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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.