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Finding the Fourth Proportional to 2,589.46, 3,571.36 and 1,592.96

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Solution

The fourth proportional to 2,589.46, 3,571.36 and 1,592.96 is: 2,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.46 : 3,571.36 = 1,592.96 : x
  2. Step 2: Convert to fraction form
    2,589.46/3,571.36 = 1,592.96/x
  3. Step 3: Cross multiply
    2,589.46x = 3,571.36 × 1,592.96
  4. Step 4: Simplify right side
    2,589.46x = 5,689,033.63
  5. Step 5: Solve for x
    x = 5,689,033.63/2,589.46
  6. Step 6: Final answer
    x = 2,197.00

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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.