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Finding the Fourth Proportional to 2,479.14, 3,420.83 and 1,431

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Solution

The fourth proportional to 2,479.14, 3,420.83 and 1,431 is: 1,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.14 : 3,420.83 = 1,431 : x
  2. Step 2: Convert to fraction form
    2,479.14/3,420.83 = 1,431/x
  3. Step 3: Cross multiply
    2,479.14x = 3,420.83 × 1,431
  4. Step 4: Simplify right side
    2,479.14x = 4,895,211.31
  5. Step 5: Solve for x
    x = 4,895,211.31/2,479.14
  6. Step 6: Final answer
    x = 1,974.56

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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.