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Finding the Fourth Proportional to 1,739.76, 2,399.01 and 1,422.63

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Solution

The fourth proportional to 1,739.76, 2,399.01 and 1,422.63 is: 1,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.76 : 2,399.01 = 1,422.63 : x
  2. Step 2: Convert to fraction form
    1,739.76/2,399.01 = 1,422.63/x
  3. Step 3: Cross multiply
    1,739.76x = 2,399.01 × 1,422.63
  4. Step 4: Simplify right side
    1,739.76x = 3,412,903.60
  5. Step 5: Solve for x
    x = 3,412,903.60/1,739.76
  6. Step 6: Final answer
    x = 1,961.71

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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.