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Finding the Fourth Proportional to 1,609.14, 2,412.11 and 914.37

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Solution

The fourth proportional to 1,609.14, 2,412.11 and 914.37 is: 1,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.14 : 2,412.11 = 914.37 : x
  2. Step 2: Convert to fraction form
    1,609.14/2,412.11 = 914.37/x
  3. Step 3: Cross multiply
    1,609.14x = 2,412.11 × 914.37
  4. Step 4: Simplify right side
    1,609.14x = 2,205,561.02
  5. Step 5: Solve for x
    x = 2,205,561.02/1,609.14
  6. Step 6: Final answer
    x = 1,370.65

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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.