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Finding the Fourth Proportional to 1,704.33, 2,544.05 and 1,462.41

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Solution

The fourth proportional to 1,704.33, 2,544.05 and 1,462.41 is: 2,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.33 : 2,544.05 = 1,462.41 : x
  2. Step 2: Convert to fraction form
    1,704.33/2,544.05 = 1,462.41/x
  3. Step 3: Cross multiply
    1,704.33x = 2,544.05 × 1,462.41
  4. Step 4: Simplify right side
    1,704.33x = 3,720,447.82
  5. Step 5: Solve for x
    x = 3,720,447.82/1,704.33
  6. Step 6: Final answer
    x = 2,182.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.