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Finding the Fourth Proportional to 3,039, 4,194 and 1,780.44

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Solution

The fourth proportional to 3,039, 4,194 and 1,780.44 is: 2,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039 : 4,194 = 1,780.44 : x
  2. Step 2: Convert to fraction form
    3,039/4,194 = 1,780.44/x
  3. Step 3: Cross multiply
    3,039x = 4,194 × 1,780.44
  4. Step 4: Simplify right side
    3,039x = 7,467,165.36
  5. Step 5: Solve for x
    x = 7,467,165.36/3,039
  6. Step 6: Final answer
    x = 2,457.11

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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.