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Finding the Fourth Proportional to 2,556.79, 3,832.60 and 995.82

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Solution

The fourth proportional to 2,556.79, 3,832.60 and 995.82 is: 1,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.79 : 3,832.60 = 995.82 : x
  2. Step 2: Convert to fraction form
    2,556.79/3,832.60 = 995.82/x
  3. Step 3: Cross multiply
    2,556.79x = 3,832.60 × 995.82
  4. Step 4: Simplify right side
    2,556.79x = 3,816,579.73
  5. Step 5: Solve for x
    x = 3,816,579.73/2,556.79
  6. Step 6: Final answer
    x = 1,492.72

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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.