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Finding the Fourth Proportional to 2,965.87, 4,093.05 and 1,787.32

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Solution

The fourth proportional to 2,965.87, 4,093.05 and 1,787.32 is: 2,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.87 : 4,093.05 = 1,787.32 : x
  2. Step 2: Convert to fraction form
    2,965.87/4,093.05 = 1,787.32/x
  3. Step 3: Cross multiply
    2,965.87x = 4,093.05 × 1,787.32
  4. Step 4: Simplify right side
    2,965.87x = 7,315,590.13
  5. Step 5: Solve for x
    x = 7,315,590.13/2,965.87
  6. Step 6: Final answer
    x = 2,466.59

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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.