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Finding the Fourth Proportional to 2,486.38, 3,431.01 and 1,438.24

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Solution

The fourth proportional to 2,486.38, 3,431.01 and 1,438.24 is: 1,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.38 : 3,431.01 = 1,438.24 : x
  2. Step 2: Convert to fraction form
    2,486.38/3,431.01 = 1,438.24/x
  3. Step 3: Cross multiply
    2,486.38x = 3,431.01 × 1,438.24
  4. Step 4: Simplify right side
    2,486.38x = 4,934,615.82
  5. Step 5: Solve for x
    x = 4,934,615.82/2,486.38
  6. Step 6: Final answer
    x = 1,984.66

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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.