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Finding the Fourth Proportional to 3,262.49, 4,502.27 and 1,770.42

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Solution

The fourth proportional to 3,262.49, 4,502.27 and 1,770.42 is: 2,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.49 : 4,502.27 = 1,770.42 : x
  2. Step 2: Convert to fraction form
    3,262.49/4,502.27 = 1,770.42/x
  3. Step 3: Cross multiply
    3,262.49x = 4,502.27 × 1,770.42
  4. Step 4: Simplify right side
    3,262.49x = 7,970,894.88
  5. Step 5: Solve for x
    x = 7,970,894.88/3,262.49
  6. Step 6: Final answer
    x = 2,443.19

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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.