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Finding the Fourth Proportional to 2,589.93, 3,574.64 and 1,596.03

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Solution

The fourth proportional to 2,589.93, 3,574.64 and 1,596.03 is: 2,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.93 : 3,574.64 = 1,596.03 : x
  2. Step 2: Convert to fraction form
    2,589.93/3,574.64 = 1,596.03/x
  3. Step 3: Cross multiply
    2,589.93x = 3,574.64 × 1,596.03
  4. Step 4: Simplify right side
    2,589.93x = 5,705,224.70
  5. Step 5: Solve for x
    x = 5,705,224.70/2,589.93
  6. Step 6: Final answer
    x = 2,202.85

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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.