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Finding the Fourth Proportional to 3,262.82, 4,502.64 and 1,770.68

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Solution

The fourth proportional to 3,262.82, 4,502.64 and 1,770.68 is: 2,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.82 : 4,502.64 = 1,770.68 : x
  2. Step 2: Convert to fraction form
    3,262.82/4,502.64 = 1,770.68/x
  3. Step 3: Cross multiply
    3,262.82x = 4,502.64 × 1,770.68
  4. Step 4: Simplify right side
    3,262.82x = 7,972,734.60
  5. Step 5: Solve for x
    x = 7,972,734.60/3,262.82
  6. Step 6: Final answer
    x = 2,443.51

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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.