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Finding the Fourth Proportional to 2,512.82, 3,765.08 and 1,780.79

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Solution

The fourth proportional to 2,512.82, 3,765.08 and 1,780.79 is: 2,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.82 : 3,765.08 = 1,780.79 : x
  2. Step 2: Convert to fraction form
    2,512.82/3,765.08 = 1,780.79/x
  3. Step 3: Cross multiply
    2,512.82x = 3,765.08 × 1,780.79
  4. Step 4: Simplify right side
    2,512.82x = 6,704,802.44
  5. Step 5: Solve for x
    x = 6,704,802.44/2,512.82
  6. Step 6: Final answer
    x = 2,668.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.