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Finding the Fourth Proportional to 3,400.41, 5,100.63 and 1,209

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Solution

The fourth proportional to 3,400.41, 5,100.63 and 1,209 is: 1,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.41 : 5,100.63 = 1,209 : x
  2. Step 2: Convert to fraction form
    3,400.41/5,100.63 = 1,209/x
  3. Step 3: Cross multiply
    3,400.41x = 5,100.63 × 1,209
  4. Step 4: Simplify right side
    3,400.41x = 6,166,661.67
  5. Step 5: Solve for x
    x = 6,166,661.67/3,400.41
  6. Step 6: Final answer
    x = 1,813.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.