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Finding the Fourth Proportional to 2,784.28, 3,842.46 and 1,589.62

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Solution

The fourth proportional to 2,784.28, 3,842.46 and 1,589.62 is: 2,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.28 : 3,842.46 = 1,589.62 : x
  2. Step 2: Convert to fraction form
    2,784.28/3,842.46 = 1,589.62/x
  3. Step 3: Cross multiply
    2,784.28x = 3,842.46 × 1,589.62
  4. Step 4: Simplify right side
    2,784.28x = 6,108,051.27
  5. Step 5: Solve for x
    x = 6,108,051.27/2,784.28
  6. Step 6: Final answer
    x = 2,193.76

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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.