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Finding the Fourth Proportional to 1,704.64, 2,352.23 and 996.30

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Solution

The fourth proportional to 1,704.64, 2,352.23 and 996.30 is: 1,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.64 : 2,352.23 = 996.30 : x
  2. Step 2: Convert to fraction form
    1,704.64/2,352.23 = 996.30/x
  3. Step 3: Cross multiply
    1,704.64x = 2,352.23 × 996.30
  4. Step 4: Simplify right side
    1,704.64x = 2,343,526.75
  5. Step 5: Solve for x
    x = 2,343,526.75/1,704.64
  6. Step 6: Final answer
    x = 1,374.79

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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.