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Finding the Fourth Proportional to 1,823.94, 2,731.50 and 1,793.70

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Solution

The fourth proportional to 1,823.94, 2,731.50 and 1,793.70 is: 2,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.94 : 2,731.50 = 1,793.70 : x
  2. Step 2: Convert to fraction form
    1,823.94/2,731.50 = 1,793.70/x
  3. Step 3: Cross multiply
    1,823.94x = 2,731.50 × 1,793.70
  4. Step 4: Simplify right side
    1,823.94x = 4,899,491.55
  5. Step 5: Solve for x
    x = 4,899,491.55/1,823.94
  6. Step 6: Final answer
    x = 2,686.21

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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.