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Finding the Fourth Proportional to 2,560.28, 3,841.34 and 894.65

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Solution

The fourth proportional to 2,560.28, 3,841.34 and 894.65 is: 1,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.28 : 3,841.34 = 894.65 : x
  2. Step 2: Convert to fraction form
    2,560.28/3,841.34 = 894.65/x
  3. Step 3: Cross multiply
    2,560.28x = 3,841.34 × 894.65
  4. Step 4: Simplify right side
    2,560.28x = 3,436,656.16
  5. Step 5: Solve for x
    x = 3,436,656.16/2,560.28
  6. Step 6: Final answer
    x = 1,342.30

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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.