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Finding the Fourth Proportional to 2,409.46, 3,323.82 and 1,571.57

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Solution

The fourth proportional to 2,409.46, 3,323.82 and 1,571.57 is: 2,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.46 : 3,323.82 = 1,571.57 : x
  2. Step 2: Convert to fraction form
    2,409.46/3,323.82 = 1,571.57/x
  3. Step 3: Cross multiply
    2,409.46x = 3,323.82 × 1,571.57
  4. Step 4: Simplify right side
    2,409.46x = 5,223,615.80
  5. Step 5: Solve for x
    x = 5,223,615.80/2,409.46
  6. Step 6: Final answer
    x = 2,167.96

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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.