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Finding the Fourth Proportional to 2,235.69, 3,083.11 and 1,438.20

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Solution

The fourth proportional to 2,235.69, 3,083.11 and 1,438.20 is: 1,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.69 : 3,083.11 = 1,438.20 : x
  2. Step 2: Convert to fraction form
    2,235.69/3,083.11 = 1,438.20/x
  3. Step 3: Cross multiply
    2,235.69x = 3,083.11 × 1,438.20
  4. Step 4: Simplify right side
    2,235.69x = 4,434,125.21
  5. Step 5: Solve for x
    x = 4,434,125.21/2,235.69
  6. Step 6: Final answer
    x = 1,983.34

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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.