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Finding the Fourth Proportional to 2,476.91, 3,418.20 and 1,532.86

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Solution

The fourth proportional to 2,476.91, 3,418.20 and 1,532.86 is: 2,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.91 : 3,418.20 = 1,532.86 : x
  2. Step 2: Convert to fraction form
    2,476.91/3,418.20 = 1,532.86/x
  3. Step 3: Cross multiply
    2,476.91x = 3,418.20 × 1,532.86
  4. Step 4: Simplify right side
    2,476.91x = 5,239,604.96
  5. Step 5: Solve for x
    x = 5,239,604.96/2,476.91
  6. Step 6: Final answer
    x = 2,115.38

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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.