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Finding the Fourth Proportional to 2,765.84, 4,148.78 and 2,277.88

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Solution

The fourth proportional to 2,765.84, 4,148.78 and 2,277.88 is: 3,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.84 : 4,148.78 = 2,277.88 : x
  2. Step 2: Convert to fraction form
    2,765.84/4,148.78 = 2,277.88/x
  3. Step 3: Cross multiply
    2,765.84x = 4,148.78 × 2,277.88
  4. Step 4: Simplify right side
    2,765.84x = 9,450,401.23
  5. Step 5: Solve for x
    x = 9,450,401.23/2,765.84
  6. Step 6: Final answer
    x = 3,416.83

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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.