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Finding the Fourth Proportional to 2,562.75, 3,536.37 and 1,443.78

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Solution

The fourth proportional to 2,562.75, 3,536.37 and 1,443.78 is: 1,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.75 : 3,536.37 = 1,443.78 : x
  2. Step 2: Convert to fraction form
    2,562.75/3,536.37 = 1,443.78/x
  3. Step 3: Cross multiply
    2,562.75x = 3,536.37 × 1,443.78
  4. Step 4: Simplify right side
    2,562.75x = 5,105,740.28
  5. Step 5: Solve for x
    x = 5,105,740.28/2,562.75
  6. Step 6: Final answer
    x = 1,992.29

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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.