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Finding the Fourth Proportional to 3,092.91, 4,640.17 and 1,706.01

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Solution

The fourth proportional to 3,092.91, 4,640.17 and 1,706.01 is: 2,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.91 : 4,640.17 = 1,706.01 : x
  2. Step 2: Convert to fraction form
    3,092.91/4,640.17 = 1,706.01/x
  3. Step 3: Cross multiply
    3,092.91x = 4,640.17 × 1,706.01
  4. Step 4: Simplify right side
    3,092.91x = 7,916,176.42
  5. Step 5: Solve for x
    x = 7,916,176.42/3,092.91
  6. Step 6: Final answer
    x = 2,559.46

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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.