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Finding the Fourth Proportional to 2,893.59, 4,340.39 and 813.82

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Solution

The fourth proportional to 2,893.59, 4,340.39 and 813.82 is: 1,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.59 : 4,340.39 = 813.82 : x
  2. Step 2: Convert to fraction form
    2,893.59/4,340.39 = 813.82/x
  3. Step 3: Cross multiply
    2,893.59x = 4,340.39 × 813.82
  4. Step 4: Simplify right side
    2,893.59x = 3,532,285.34
  5. Step 5: Solve for x
    x = 3,532,285.34/2,893.59
  6. Step 6: Final answer
    x = 1,220.73

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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.