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Finding the Fourth Proportional to 2,412.34, 3,619.01 and 852.37

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Solution

The fourth proportional to 2,412.34, 3,619.01 and 852.37 is: 1,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.34 : 3,619.01 = 852.37 : x
  2. Step 2: Convert to fraction form
    2,412.34/3,619.01 = 852.37/x
  3. Step 3: Cross multiply
    2,412.34x = 3,619.01 × 852.37
  4. Step 4: Simplify right side
    2,412.34x = 3,084,735.55
  5. Step 5: Solve for x
    x = 3,084,735.55/2,412.34
  6. Step 6: Final answer
    x = 1,278.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.