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Finding the Fourth Proportional to 2,369.93, 3,554.89 and 984.22

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Solution

The fourth proportional to 2,369.93, 3,554.89 and 984.22 is: 1,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.93 : 3,554.89 = 984.22 : x
  2. Step 2: Convert to fraction form
    2,369.93/3,554.89 = 984.22/x
  3. Step 3: Cross multiply
    2,369.93x = 3,554.89 × 984.22
  4. Step 4: Simplify right side
    2,369.93x = 3,498,782.49
  5. Step 5: Solve for x
    x = 3,498,782.49/2,369.93
  6. Step 6: Final answer
    x = 1,476.33

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Similar ratio
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1.5x scale

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.