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Finding the Fourth Proportional to 2,944.01, 4,062.74 and 1,617.80

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Solution

The fourth proportional to 2,944.01, 4,062.74 and 1,617.80 is: 2,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.01 : 4,062.74 = 1,617.80 : x
  2. Step 2: Convert to fraction form
    2,944.01/4,062.74 = 1,617.80/x
  3. Step 3: Cross multiply
    2,944.01x = 4,062.74 × 1,617.80
  4. Step 4: Simplify right side
    2,944.01x = 6,572,672.37
  5. Step 5: Solve for x
    x = 6,572,672.37/2,944.01
  6. Step 6: Final answer
    x = 2,232.56

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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.