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Finding the Fourth Proportional to 2,787.17, 3,846.13 and 1,527.98

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Solution

The fourth proportional to 2,787.17, 3,846.13 and 1,527.98 is: 2,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.17 : 3,846.13 = 1,527.98 : x
  2. Step 2: Convert to fraction form
    2,787.17/3,846.13 = 1,527.98/x
  3. Step 3: Cross multiply
    2,787.17x = 3,846.13 × 1,527.98
  4. Step 4: Simplify right side
    2,787.17x = 5,876,786.67
  5. Step 5: Solve for x
    x = 5,876,786.67/2,787.17
  6. Step 6: Final answer
    x = 2,108.52

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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.