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Finding the Fourth Proportional to 2,844.02, 3,924.99 and 1,649.45

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Solution

The fourth proportional to 2,844.02, 3,924.99 and 1,649.45 is: 2,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.02 : 3,924.99 = 1,649.45 : x
  2. Step 2: Convert to fraction form
    2,844.02/3,924.99 = 1,649.45/x
  3. Step 3: Cross multiply
    2,844.02x = 3,924.99 × 1,649.45
  4. Step 4: Simplify right side
    2,844.02x = 6,474,074.76
  5. Step 5: Solve for x
    x = 6,474,074.76/2,844.02
  6. Step 6: Final answer
    x = 2,276.38

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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.