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Finding the Fourth Proportional to 2,943, 4,414.08 and 1,093.82

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Solution

The fourth proportional to 2,943, 4,414.08 and 1,093.82 is: 1,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 4,414.08 = 1,093.82 : x
  2. Step 2: Convert to fraction form
    2,943/4,414.08 = 1,093.82/x
  3. Step 3: Cross multiply
    2,943x = 4,414.08 × 1,093.82
  4. Step 4: Simplify right side
    2,943x = 4,828,208.99
  5. Step 5: Solve for x
    x = 4,828,208.99/2,943
  6. Step 6: Final answer
    x = 1,640.57

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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.