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Finding the Fourth Proportional to 2,063.09, 3,094.30 and 601.90

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Solution

The fourth proportional to 2,063.09, 3,094.30 and 601.90 is: 902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.09 : 3,094.30 = 601.90 : x
  2. Step 2: Convert to fraction form
    2,063.09/3,094.30 = 601.90/x
  3. Step 3: Cross multiply
    2,063.09x = 3,094.30 × 601.90
  4. Step 4: Simplify right side
    2,063.09x = 1,862,452.19
  5. Step 5: Solve for x
    x = 1,862,452.19/2,063.09
  6. Step 6: Final answer
    x = 902.75

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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.