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Finding the Fourth Proportional to 2,462.86, 3,400 and 1,902.07

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Solution

The fourth proportional to 2,462.86, 3,400 and 1,902.07 is: 2,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.86 : 3,400 = 1,902.07 : x
  2. Step 2: Convert to fraction form
    2,462.86/3,400 = 1,902.07/x
  3. Step 3: Cross multiply
    2,462.86x = 3,400 × 1,902.07
  4. Step 4: Simplify right side
    2,462.86x = 6,467,038
  5. Step 5: Solve for x
    x = 6,467,038/2,462.86
  6. Step 6: Final answer
    x = 2,625.82

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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.