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Finding the Fourth Proportional to 2,738.96, 4,106.48 and 1,277.32

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Solution

The fourth proportional to 2,738.96, 4,106.48 and 1,277.32 is: 1,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.96 : 4,106.48 = 1,277.32 : x
  2. Step 2: Convert to fraction form
    2,738.96/4,106.48 = 1,277.32/x
  3. Step 3: Cross multiply
    2,738.96x = 4,106.48 × 1,277.32
  4. Step 4: Simplify right side
    2,738.96x = 5,245,289.03
  5. Step 5: Solve for x
    x = 5,245,289.03/2,738.96
  6. Step 6: Final answer
    x = 1,915.07

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1.5x scale

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.