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Finding the Fourth Proportional to 2,871.32, 4,308.20 and 1,571.26

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Solution

The fourth proportional to 2,871.32, 4,308.20 and 1,571.26 is: 2,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.32 : 4,308.20 = 1,571.26 : x
  2. Step 2: Convert to fraction form
    2,871.32/4,308.20 = 1,571.26/x
  3. Step 3: Cross multiply
    2,871.32x = 4,308.20 × 1,571.26
  4. Step 4: Simplify right side
    2,871.32x = 6,769,302.33
  5. Step 5: Solve for x
    x = 6,769,302.33/2,871.32
  6. Step 6: Final answer
    x = 2,357.56

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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.