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Finding the Fourth Proportional to 2,583.69, 3,565.56 and 1,589.55

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Solution

The fourth proportional to 2,583.69, 3,565.56 and 1,589.55 is: 2,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.69 : 3,565.56 = 1,589.55 : x
  2. Step 2: Convert to fraction form
    2,583.69/3,565.56 = 1,589.55/x
  3. Step 3: Cross multiply
    2,583.69x = 3,565.56 × 1,589.55
  4. Step 4: Simplify right side
    2,583.69x = 5,667,635.90
  5. Step 5: Solve for x
    x = 5,667,635.90/2,583.69
  6. Step 6: Final answer
    x = 2,193.62

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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.