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Finding the Fourth Proportional to 2,778.54, 3,834.42 and 1,599.60

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Solution

The fourth proportional to 2,778.54, 3,834.42 and 1,599.60 is: 2,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.54 : 3,834.42 = 1,599.60 : x
  2. Step 2: Convert to fraction form
    2,778.54/3,834.42 = 1,599.60/x
  3. Step 3: Cross multiply
    2,778.54x = 3,834.42 × 1,599.60
  4. Step 4: Simplify right side
    2,778.54x = 6,133,538.23
  5. Step 5: Solve for x
    x = 6,133,538.23/2,778.54
  6. Step 6: Final answer
    x = 2,207.47

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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.