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Finding the Fourth Proportional to 2,560.34, 3,842.00 and 1,079.47

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Solution

The fourth proportional to 2,560.34, 3,842.00 and 1,079.47 is: 1,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.34 : 3,842.00 = 1,079.47 : x
  2. Step 2: Convert to fraction form
    2,560.34/3,842.00 = 1,079.47/x
  3. Step 3: Cross multiply
    2,560.34x = 3,842.00 × 1,079.47
  4. Step 4: Simplify right side
    2,560.34x = 4,147,333.27
  5. Step 5: Solve for x
    x = 4,147,333.27/2,560.34
  6. Step 6: Final answer
    x = 1,619.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.