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Finding the Fourth Proportional to 1,813.28, 2,494.71 and 1,599.57

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Solution

The fourth proportional to 1,813.28, 2,494.71 and 1,599.57 is: 2,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.28 : 2,494.71 = 1,599.57 : x
  2. Step 2: Convert to fraction form
    1,813.28/2,494.71 = 1,599.57/x
  3. Step 3: Cross multiply
    1,813.28x = 2,494.71 × 1,599.57
  4. Step 4: Simplify right side
    1,813.28x = 3,990,463.27
  5. Step 5: Solve for x
    x = 3,990,463.27/1,813.28
  6. Step 6: Final answer
    x = 2,200.69

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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.