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Finding the Fourth Proportional to 2,582.71, 3,565.08 and 1,589.32

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Solution

The fourth proportional to 2,582.71, 3,565.08 and 1,589.32 is: 2,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.71 : 3,565.08 = 1,589.32 : x
  2. Step 2: Convert to fraction form
    2,582.71/3,565.08 = 1,589.32/x
  3. Step 3: Cross multiply
    2,582.71x = 3,565.08 × 1,589.32
  4. Step 4: Simplify right side
    2,582.71x = 5,666,052.95
  5. Step 5: Solve for x
    x = 5,666,052.95/2,582.71
  6. Step 6: Final answer
    x = 2,193.84

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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.