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Finding the Fourth Proportional to 2,018.33, 3,026.23 and 631.27

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Solution

The fourth proportional to 2,018.33, 3,026.23 and 631.27 is: 946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.33 : 3,026.23 = 631.27 : x
  2. Step 2: Convert to fraction form
    2,018.33/3,026.23 = 631.27/x
  3. Step 3: Cross multiply
    2,018.33x = 3,026.23 × 631.27
  4. Step 4: Simplify right side
    2,018.33x = 1,910,368.21
  5. Step 5: Solve for x
    x = 1,910,368.21/2,018.33
  6. Step 6: Final answer
    x = 946.51

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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.