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Finding the Fourth Proportional to 2,582.66, 3,565.92 and 1,589.28

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Solution

The fourth proportional to 2,582.66, 3,565.92 and 1,589.28 is: 2,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.66 : 3,565.92 = 1,589.28 : x
  2. Step 2: Convert to fraction form
    2,582.66/3,565.92 = 1,589.28/x
  3. Step 3: Cross multiply
    2,582.66x = 3,565.92 × 1,589.28
  4. Step 4: Simplify right side
    2,582.66x = 5,667,245.34
  5. Step 5: Solve for x
    x = 5,667,245.34/2,582.66
  6. Step 6: Final answer
    x = 2,194.34

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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.