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Finding the Fourth Proportional to 2,782.35, 3,840.46 and 1,787.95

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Solution

The fourth proportional to 2,782.35, 3,840.46 and 1,787.95 is: 2,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.35 : 3,840.46 = 1,787.95 : x
  2. Step 2: Convert to fraction form
    2,782.35/3,840.46 = 1,787.95/x
  3. Step 3: Cross multiply
    2,782.35x = 3,840.46 × 1,787.95
  4. Step 4: Simplify right side
    2,782.35x = 6,866,550.04
  5. Step 5: Solve for x
    x = 6,866,550.04/2,782.35
  6. Step 6: Final answer
    x = 2,467.90

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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.