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Finding the Fourth Proportional to 2,778.54, 3,833.82 and 1,770.54

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Solution

The fourth proportional to 2,778.54, 3,833.82 and 1,770.54 is: 2,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.54 : 3,833.82 = 1,770.54 : x
  2. Step 2: Convert to fraction form
    2,778.54/3,833.82 = 1,770.54/x
  3. Step 3: Cross multiply
    2,778.54x = 3,833.82 × 1,770.54
  4. Step 4: Simplify right side
    2,778.54x = 6,787,931.66
  5. Step 5: Solve for x
    x = 6,787,931.66/2,778.54
  6. Step 6: Final answer
    x = 2,442.99

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1.5x scale

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.