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Finding the Fourth Proportional to 2,063.00, 3,094.13 and 1,022.66

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Solution

The fourth proportional to 2,063.00, 3,094.13 and 1,022.66 is: 1,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.00 : 3,094.13 = 1,022.66 : x
  2. Step 2: Convert to fraction form
    2,063.00/3,094.13 = 1,022.66/x
  3. Step 3: Cross multiply
    2,063.00x = 3,094.13 × 1,022.66
  4. Step 4: Simplify right side
    2,063.00x = 3,164,230.07
  5. Step 5: Solve for x
    x = 3,164,230.07/2,063.00
  6. Step 6: Final answer
    x = 1,533.80

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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.