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Finding the Fourth Proportional to 3,262.68, 4,502.42 and 1,770.54

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Solution

The fourth proportional to 3,262.68, 4,502.42 and 1,770.54 is: 2,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.68 : 4,502.42 = 1,770.54 : x
  2. Step 2: Convert to fraction form
    3,262.68/4,502.42 = 1,770.54/x
  3. Step 3: Cross multiply
    3,262.68x = 4,502.42 × 1,770.54
  4. Step 4: Simplify right side
    3,262.68x = 7,971,714.71
  5. Step 5: Solve for x
    x = 7,971,714.71/3,262.68
  6. Step 6: Final answer
    x = 2,443.30

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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.