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Finding the Fourth Proportional to 3,096.06, 4,271.52 and 1,768.83

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Solution

The fourth proportional to 3,096.06, 4,271.52 and 1,768.83 is: 2,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.06 : 4,271.52 = 1,768.83 : x
  2. Step 2: Convert to fraction form
    3,096.06/4,271.52 = 1,768.83/x
  3. Step 3: Cross multiply
    3,096.06x = 4,271.52 × 1,768.83
  4. Step 4: Simplify right side
    3,096.06x = 7,555,583.34
  5. Step 5: Solve for x
    x = 7,555,583.34/3,096.06
  6. Step 6: Final answer
    x = 2,440.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.