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Finding the Fourth Proportional to 2,756.11, 4,134.81 and 808.47

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Solution

The fourth proportional to 2,756.11, 4,134.81 and 808.47 is: 1,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.11 : 4,134.81 = 808.47 : x
  2. Step 2: Convert to fraction form
    2,756.11/4,134.81 = 808.47/x
  3. Step 3: Cross multiply
    2,756.11x = 4,134.81 × 808.47
  4. Step 4: Simplify right side
    2,756.11x = 3,342,869.84
  5. Step 5: Solve for x
    x = 3,342,869.84/2,756.11
  6. Step 6: Final answer
    x = 1,212.89

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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.