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Finding the Fourth Proportional to 2,462.89, 3,400.04 and 1,902.10

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Solution

The fourth proportional to 2,462.89, 3,400.04 and 1,902.10 is: 2,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.89 : 3,400.04 = 1,902.10 : x
  2. Step 2: Convert to fraction form
    2,462.89/3,400.04 = 1,902.10/x
  3. Step 3: Cross multiply
    2,462.89x = 3,400.04 × 1,902.10
  4. Step 4: Simplify right side
    2,462.89x = 6,467,214.21
  5. Step 5: Solve for x
    x = 6,467,214.21/2,462.89
  6. Step 6: Final answer
    x = 2,625.87

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1.5x scale

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.