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Finding the Fourth Proportional to 2,756.14, 4,134.87 and 808.30

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Solution

The fourth proportional to 2,756.14, 4,134.87 and 808.30 is: 1,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.14 : 4,134.87 = 808.30 : x
  2. Step 2: Convert to fraction form
    2,756.14/4,134.87 = 808.30/x
  3. Step 3: Cross multiply
    2,756.14x = 4,134.87 × 808.30
  4. Step 4: Simplify right side
    2,756.14x = 3,342,215.42
  5. Step 5: Solve for x
    x = 3,342,215.42/2,756.14
  6. Step 6: Final answer
    x = 1,212.64

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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.