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Finding the Fourth Proportional to 1,704.66, 2,353.91 and 1,649.58

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Solution

The fourth proportional to 1,704.66, 2,353.91 and 1,649.58 is: 2,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.66 : 2,353.91 = 1,649.58 : x
  2. Step 2: Convert to fraction form
    1,704.66/2,353.91 = 1,649.58/x
  3. Step 3: Cross multiply
    1,704.66x = 2,353.91 × 1,649.58
  4. Step 4: Simplify right side
    1,704.66x = 3,882,954.61
  5. Step 5: Solve for x
    x = 3,882,954.61/1,704.66
  6. Step 6: Final answer
    x = 2,277.85

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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.