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Finding the Fourth Proportional to 2,524.56, 3,491.64 and 2,262.48

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Solution

The fourth proportional to 2,524.56, 3,491.64 and 2,262.48 is: 3,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.56 : 3,491.64 = 2,262.48 : x
  2. Step 2: Convert to fraction form
    2,524.56/3,491.64 = 2,262.48/x
  3. Step 3: Cross multiply
    2,524.56x = 3,491.64 × 2,262.48
  4. Step 4: Simplify right side
    2,524.56x = 7,899,765.67
  5. Step 5: Solve for x
    x = 7,899,765.67/2,524.56
  6. Step 6: Final answer
    x = 3,129.17

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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.