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Finding the Fourth Proportional to 2,014.36, 3,022.20 and 844.48

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Solution

The fourth proportional to 2,014.36, 3,022.20 and 844.48 is: 1,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.36 : 3,022.20 = 844.48 : x
  2. Step 2: Convert to fraction form
    2,014.36/3,022.20 = 844.48/x
  3. Step 3: Cross multiply
    2,014.36x = 3,022.20 × 844.48
  4. Step 4: Simplify right side
    2,014.36x = 2,552,187.46
  5. Step 5: Solve for x
    x = 2,552,187.46/2,014.36
  6. Step 6: Final answer
    x = 1,267.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.