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Finding the Fourth Proportional to 1,238.90, 1,844.19 and 1,220.45

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Solution

The fourth proportional to 1,238.90, 1,844.19 and 1,220.45 is: 1,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.90 : 1,844.19 = 1,220.45 : x
  2. Step 2: Convert to fraction form
    1,238.90/1,844.19 = 1,220.45/x
  3. Step 3: Cross multiply
    1,238.90x = 1,844.19 × 1,220.45
  4. Step 4: Simplify right side
    1,238.90x = 2,250,741.69
  5. Step 5: Solve for x
    x = 2,250,741.69/1,238.90
  6. Step 6: Final answer
    x = 1,816.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.