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Finding the Fourth Proportional to 2,554.85, 3,824.19 and 1,770.86

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Solution

The fourth proportional to 2,554.85, 3,824.19 and 1,770.86 is: 2,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.85 : 3,824.19 = 1,770.86 : x
  2. Step 2: Convert to fraction form
    2,554.85/3,824.19 = 1,770.86/x
  3. Step 3: Cross multiply
    2,554.85x = 3,824.19 × 1,770.86
  4. Step 4: Simplify right side
    2,554.85x = 6,772,105.10
  5. Step 5: Solve for x
    x = 6,772,105.10/2,554.85
  6. Step 6: Final answer
    x = 2,650.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.