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Finding the Fourth Proportional to 2,300.70, 3,175.68 and 2,183.13

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Solution

The fourth proportional to 2,300.70, 3,175.68 and 2,183.13 is: 3,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.70 : 3,175.68 = 2,183.13 : x
  2. Step 2: Convert to fraction form
    2,300.70/3,175.68 = 2,183.13/x
  3. Step 3: Cross multiply
    2,300.70x = 3,175.68 × 2,183.13
  4. Step 4: Simplify right side
    2,300.70x = 6,932,922.28
  5. Step 5: Solve for x
    x = 6,932,922.28/2,300.70
  6. Step 6: Final answer
    x = 3,013.40

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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.