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Finding the Fourth Proportional to 2,556.90, 3,833.76 and 995.58

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Solution

The fourth proportional to 2,556.90, 3,833.76 and 995.58 is: 1,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.90 : 3,833.76 = 995.58 : x
  2. Step 2: Convert to fraction form
    2,556.90/3,833.76 = 995.58/x
  3. Step 3: Cross multiply
    2,556.90x = 3,833.76 × 995.58
  4. Step 4: Simplify right side
    2,556.90x = 3,816,814.78
  5. Step 5: Solve for x
    x = 3,816,814.78/2,556.90
  6. Step 6: Final answer
    x = 1,492.75

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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.