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Finding the Fourth Proportional to 2,681.81, 4,022.71 and 949.22

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Solution

The fourth proportional to 2,681.81, 4,022.71 and 949.22 is: 1,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.81 : 4,022.71 = 949.22 : x
  2. Step 2: Convert to fraction form
    2,681.81/4,022.71 = 949.22/x
  3. Step 3: Cross multiply
    2,681.81x = 4,022.71 × 949.22
  4. Step 4: Simplify right side
    2,681.81x = 3,818,434.72
  5. Step 5: Solve for x
    x = 3,818,434.72/2,681.81
  6. Step 6: Final answer
    x = 1,423.83

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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.