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Finding the Fourth Proportional to 2,562.03, 3,843.01 and 896.47

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Solution

The fourth proportional to 2,562.03, 3,843.01 and 896.47 is: 1,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.03 : 3,843.01 = 896.47 : x
  2. Step 2: Convert to fraction form
    2,562.03/3,843.01 = 896.47/x
  3. Step 3: Cross multiply
    2,562.03x = 3,843.01 × 896.47
  4. Step 4: Simplify right side
    2,562.03x = 3,445,134.69
  5. Step 5: Solve for x
    x = 3,445,134.69/2,562.03
  6. Step 6: Final answer
    x = 1,344.69

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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.