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Finding the Fourth Proportional to 2,190.70, 3,023.22 and 1,306.38

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Solution

The fourth proportional to 2,190.70, 3,023.22 and 1,306.38 is: 1,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.70 : 3,023.22 = 1,306.38 : x
  2. Step 2: Convert to fraction form
    2,190.70/3,023.22 = 1,306.38/x
  3. Step 3: Cross multiply
    2,190.70x = 3,023.22 × 1,306.38
  4. Step 4: Simplify right side
    2,190.70x = 3,949,474.14
  5. Step 5: Solve for x
    x = 3,949,474.14/2,190.70
  6. Step 6: Final answer
    x = 1,802.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.