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Finding the Fourth Proportional to 3,462.44, 4,776.98 and 1,969.98

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Solution

The fourth proportional to 3,462.44, 4,776.98 and 1,969.98 is: 2,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.44 : 4,776.98 = 1,969.98 : x
  2. Step 2: Convert to fraction form
    3,462.44/4,776.98 = 1,969.98/x
  3. Step 3: Cross multiply
    3,462.44x = 4,776.98 × 1,969.98
  4. Step 4: Simplify right side
    3,462.44x = 9,410,573.35
  5. Step 5: Solve for x
    x = 9,410,573.35/3,462.44
  6. Step 6: Final answer
    x = 2,717.90

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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.