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Finding the Fourth Proportional to 2,768.76, 3,819.78 and 2,547.72

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Solution

The fourth proportional to 2,768.76, 3,819.78 and 2,547.72 is: 3,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.76 : 3,819.78 = 2,547.72 : x
  2. Step 2: Convert to fraction form
    2,768.76/3,819.78 = 2,547.72/x
  3. Step 3: Cross multiply
    2,768.76x = 3,819.78 × 2,547.72
  4. Step 4: Simplify right side
    2,768.76x = 9,731,729.90
  5. Step 5: Solve for x
    x = 9,731,729.90/2,768.76
  6. Step 6: Final answer
    x = 3,514.83

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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.