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Finding the Fourth Proportional to 2,072.16, 3,107.79 and 610.98

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Solution

The fourth proportional to 2,072.16, 3,107.79 and 610.98 is: 916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.16 : 3,107.79 = 610.98 : x
  2. Step 2: Convert to fraction form
    2,072.16/3,107.79 = 610.98/x
  3. Step 3: Cross multiply
    2,072.16x = 3,107.79 × 610.98
  4. Step 4: Simplify right side
    2,072.16x = 1,898,797.53
  5. Step 5: Solve for x
    x = 1,898,797.53/2,072.16
  6. Step 6: Final answer
    x = 916.34

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Why These Related Problems?

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