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Finding the Fourth Proportional to 3,094.56, 4,269.03 and 2,034.08

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Solution

The fourth proportional to 3,094.56, 4,269.03 and 2,034.08 is: 2,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.56 : 4,269.03 = 2,034.08 : x
  2. Step 2: Convert to fraction form
    3,094.56/4,269.03 = 2,034.08/x
  3. Step 3: Cross multiply
    3,094.56x = 4,269.03 × 2,034.08
  4. Step 4: Simplify right side
    3,094.56x = 8,683,548.54
  5. Step 5: Solve for x
    x = 8,683,548.54/3,094.56
  6. Step 6: Final answer
    x = 2,806.07

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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.