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Finding the Fourth Proportional to 2,776.17, 3,825.84 and 1,988.85

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Solution

The fourth proportional to 2,776.17, 3,825.84 and 1,988.85 is: 2,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.17 : 3,825.84 = 1,988.85 : x
  2. Step 2: Convert to fraction form
    2,776.17/3,825.84 = 1,988.85/x
  3. Step 3: Cross multiply
    2,776.17x = 3,825.84 × 1,988.85
  4. Step 4: Simplify right side
    2,776.17x = 7,609,021.88
  5. Step 5: Solve for x
    x = 7,609,021.88/2,776.17
  6. Step 6: Final answer
    x = 2,740.83

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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.