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Finding the Fourth Proportional to 1,609.50, 2,415.16 and 1,597.26

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Solution

The fourth proportional to 1,609.50, 2,415.16 and 1,597.26 is: 2,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.50 : 2,415.16 = 1,597.26 : x
  2. Step 2: Convert to fraction form
    1,609.50/2,415.16 = 1,597.26/x
  3. Step 3: Cross multiply
    1,609.50x = 2,415.16 × 1,597.26
  4. Step 4: Simplify right side
    1,609.50x = 3,857,638.46
  5. Step 5: Solve for x
    x = 3,857,638.46/1,609.50
  6. Step 6: Final answer
    x = 2,396.79

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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.