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Finding the Fourth Proportional to 1,596.44, 2,393.04 and 1,453.88

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Solution

The fourth proportional to 1,596.44, 2,393.04 and 1,453.88 is: 2,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.44 : 2,393.04 = 1,453.88 : x
  2. Step 2: Convert to fraction form
    1,596.44/2,393.04 = 1,453.88/x
  3. Step 3: Cross multiply
    1,596.44x = 2,393.04 × 1,453.88
  4. Step 4: Simplify right side
    1,596.44x = 3,479,193.00
  5. Step 5: Solve for x
    x = 3,479,193.00/1,596.44
  6. Step 6: Final answer
    x = 2,179.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.