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Finding the Fourth Proportional to 2,787.90, 3,817.16 and 2,787.90

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Solution

The fourth proportional to 2,787.90, 3,817.16 and 2,787.90 is: 3,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.90 : 3,817.16 = 2,787.90 : x
  2. Step 2: Convert to fraction form
    2,787.90/3,817.16 = 2,787.90/x
  3. Step 3: Cross multiply
    2,787.90x = 3,817.16 × 2,787.90
  4. Step 4: Simplify right side
    2,787.90x = 10,641,846.42
  5. Step 5: Solve for x
    x = 10,641,846.42/2,787.90
  6. Step 6: Final answer
    x = 3,817.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.