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Finding the Fourth Proportional to 1,596.10, 2,197.48 and 1,241.59

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Solution

The fourth proportional to 1,596.10, 2,197.48 and 1,241.59 is: 1,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.10 : 2,197.48 = 1,241.59 : x
  2. Step 2: Convert to fraction form
    1,596.10/2,197.48 = 1,241.59/x
  3. Step 3: Cross multiply
    1,596.10x = 2,197.48 × 1,241.59
  4. Step 4: Simplify right side
    1,596.10x = 2,728,362.99
  5. Step 5: Solve for x
    x = 2,728,362.99/1,596.10
  6. Step 6: Final answer
    x = 1,709.39

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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.