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Finding the Fourth Proportional to 2,416.05, 3,335.72 and 1,855.44

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Solution

The fourth proportional to 2,416.05, 3,335.72 and 1,855.44 is: 2,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.05 : 3,335.72 = 1,855.44 : x
  2. Step 2: Convert to fraction form
    2,416.05/3,335.72 = 1,855.44/x
  3. Step 3: Cross multiply
    2,416.05x = 3,335.72 × 1,855.44
  4. Step 4: Simplify right side
    2,416.05x = 6,189,219.04
  5. Step 5: Solve for x
    x = 6,189,219.04/2,416.05
  6. Step 6: Final answer
    x = 2,561.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.