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Finding the Fourth Proportional to 2,760.98, 4,136 and 1,787.77

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Solution

The fourth proportional to 2,760.98, 4,136 and 1,787.77 is: 2,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.98 : 4,136 = 1,787.77 : x
  2. Step 2: Convert to fraction form
    2,760.98/4,136 = 1,787.77/x
  3. Step 3: Cross multiply
    2,760.98x = 4,136 × 1,787.77
  4. Step 4: Simplify right side
    2,760.98x = 7,394,196.04
  5. Step 5: Solve for x
    x = 7,394,196.04/2,760.98
  6. Step 6: Final answer
    x = 2,678.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.