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Finding the Fourth Proportional to 3,405, 4,698.90 and 2,078.49

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Solution

The fourth proportional to 3,405, 4,698.90 and 2,078.49 is: 2,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 4,698.90 = 2,078.49 : x
  2. Step 2: Convert to fraction form
    3,405/4,698.90 = 2,078.49/x
  3. Step 3: Cross multiply
    3,405x = 4,698.90 × 2,078.49
  4. Step 4: Simplify right side
    3,405x = 9,766,616.66
  5. Step 5: Solve for x
    x = 9,766,616.66/3,405
  6. Step 6: Final answer
    x = 2,868.32

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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.