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Finding the Fourth Proportional to 3,262.39, 4,502.12 and 1,770.31

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Solution

The fourth proportional to 3,262.39, 4,502.12 and 1,770.31 is: 2,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.39 : 4,502.12 = 1,770.31 : x
  2. Step 2: Convert to fraction form
    3,262.39/4,502.12 = 1,770.31/x
  3. Step 3: Cross multiply
    3,262.39x = 4,502.12 × 1,770.31
  4. Step 4: Simplify right side
    3,262.39x = 7,970,119.51
  5. Step 5: Solve for x
    x = 7,970,119.51/3,262.39
  6. Step 6: Final answer
    x = 2,443.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.