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Finding the Fourth Proportional to 2,013.05, 3,013.10 and 1,037.81

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Solution

The fourth proportional to 2,013.05, 3,013.10 and 1,037.81 is: 1,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.05 : 3,013.10 = 1,037.81 : x
  2. Step 2: Convert to fraction form
    2,013.05/3,013.10 = 1,037.81/x
  3. Step 3: Cross multiply
    2,013.05x = 3,013.10 × 1,037.81
  4. Step 4: Simplify right side
    2,013.05x = 3,127,020.12
  5. Step 5: Solve for x
    x = 3,127,020.12/2,013.05
  6. Step 6: Final answer
    x = 1,553.37

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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.