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Finding the Fourth Proportional to 2,416.01, 3,623.34 and 855.80

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Solution

The fourth proportional to 2,416.01, 3,623.34 and 855.80 is: 1,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.01 : 3,623.34 = 855.80 : x
  2. Step 2: Convert to fraction form
    2,416.01/3,623.34 = 855.80/x
  3. Step 3: Cross multiply
    2,416.01x = 3,623.34 × 855.80
  4. Step 4: Simplify right side
    2,416.01x = 3,100,853.05
  5. Step 5: Solve for x
    x = 3,100,853.05/2,416.01
  6. Step 6: Final answer
    x = 1,283.46

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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.