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Finding the Fourth Proportional to 1,596.08, 2,393.70 and 441.56

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Solution

The fourth proportional to 1,596.08, 2,393.70 and 441.56 is: 662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.08 : 2,393.70 = 441.56 : x
  2. Step 2: Convert to fraction form
    1,596.08/2,393.70 = 441.56/x
  3. Step 3: Cross multiply
    1,596.08x = 2,393.70 × 441.56
  4. Step 4: Simplify right side
    1,596.08x = 1,056,962.17
  5. Step 5: Solve for x
    x = 1,056,962.17/1,596.08
  6. Step 6: Final answer
    x = 662.22

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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.