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Finding the Fourth Proportional to 2,412.64, 3,619.08 and 852.46

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Solution

The fourth proportional to 2,412.64, 3,619.08 and 852.46 is: 1,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.64 : 3,619.08 = 852.46 : x
  2. Step 2: Convert to fraction form
    2,412.64/3,619.08 = 852.46/x
  3. Step 3: Cross multiply
    2,412.64x = 3,619.08 × 852.46
  4. Step 4: Simplify right side
    2,412.64x = 3,085,120.94
  5. Step 5: Solve for x
    x = 3,085,120.94/2,412.64
  6. Step 6: Final answer
    x = 1,278.73

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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.