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Finding the Fourth Proportional to 2,065.70, 3,092.70 and 1,604.30

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Solution

The fourth proportional to 2,065.70, 3,092.70 and 1,604.30 is: 2,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.70 : 3,092.70 = 1,604.30 : x
  2. Step 2: Convert to fraction form
    2,065.70/3,092.70 = 1,604.30/x
  3. Step 3: Cross multiply
    2,065.70x = 3,092.70 × 1,604.30
  4. Step 4: Simplify right side
    2,065.70x = 4,961,618.61
  5. Step 5: Solve for x
    x = 4,961,618.61/2,065.70
  6. Step 6: Final answer
    x = 2,401.91

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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.