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Finding the Fourth Proportional to 2,787.06, 3,846.18 and 1,607.91

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Solution

The fourth proportional to 2,787.06, 3,846.18 and 1,607.91 is: 2,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.06 : 3,846.18 = 1,607.91 : x
  2. Step 2: Convert to fraction form
    2,787.06/3,846.18 = 1,607.91/x
  3. Step 3: Cross multiply
    2,787.06x = 3,846.18 × 1,607.91
  4. Step 4: Simplify right side
    2,787.06x = 6,184,311.28
  5. Step 5: Solve for x
    x = 6,184,311.28/2,787.06
  6. Step 6: Final answer
    x = 2,218.94

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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.