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Finding the Fourth Proportional to 2,813.81, 4,217.35 and 1,310.81

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Solution

The fourth proportional to 2,813.81, 4,217.35 and 1,310.81 is: 1,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.81 : 4,217.35 = 1,310.81 : x
  2. Step 2: Convert to fraction form
    2,813.81/4,217.35 = 1,310.81/x
  3. Step 3: Cross multiply
    2,813.81x = 4,217.35 × 1,310.81
  4. Step 4: Simplify right side
    2,813.81x = 5,528,120.19
  5. Step 5: Solve for x
    x = 5,528,120.19/2,813.81
  6. Step 6: Final answer
    x = 1,964.64

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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.