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Finding the Fourth Proportional to 2,815.96, 3,885.96 and 1,556.96

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Solution

The fourth proportional to 2,815.96, 3,885.96 and 1,556.96 is: 2,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.96 : 3,885.96 = 1,556.96 : x
  2. Step 2: Convert to fraction form
    2,815.96/3,885.96 = 1,556.96/x
  3. Step 3: Cross multiply
    2,815.96x = 3,885.96 × 1,556.96
  4. Step 4: Simplify right side
    2,815.96x = 6,050,284.28
  5. Step 5: Solve for x
    x = 6,050,284.28/2,815.96
  6. Step 6: Final answer
    x = 2,148.57

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Why These Related Problems?

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