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Finding the Fourth Proportional to 2,302, 3,446.70 and 1,609.36

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Solution

The fourth proportional to 2,302, 3,446.70 and 1,609.36 is: 2,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302 : 3,446.70 = 1,609.36 : x
  2. Step 2: Convert to fraction form
    2,302/3,446.70 = 1,609.36/x
  3. Step 3: Cross multiply
    2,302x = 3,446.70 × 1,609.36
  4. Step 4: Simplify right side
    2,302x = 5,546,981.11
  5. Step 5: Solve for x
    x = 5,546,981.11/2,302
  6. Step 6: Final answer
    x = 2,409.64

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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.