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Finding the Fourth Proportional to 2,408.49, 3,611.79 and 848.16

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Solution

The fourth proportional to 2,408.49, 3,611.79 and 848.16 is: 1,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.49 : 3,611.79 = 848.16 : x
  2. Step 2: Convert to fraction form
    2,408.49/3,611.79 = 848.16/x
  3. Step 3: Cross multiply
    2,408.49x = 3,611.79 × 848.16
  4. Step 4: Simplify right side
    2,408.49x = 3,063,375.81
  5. Step 5: Solve for x
    x = 3,063,375.81/2,408.49
  6. Step 6: Final answer
    x = 1,271.91

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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.