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Finding the Fourth Proportional to 3,147.44, 4,721.15 and 838.94

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Solution

The fourth proportional to 3,147.44, 4,721.15 and 838.94 is: 1,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.44 : 4,721.15 = 838.94 : x
  2. Step 2: Convert to fraction form
    3,147.44/4,721.15 = 838.94/x
  3. Step 3: Cross multiply
    3,147.44x = 4,721.15 × 838.94
  4. Step 4: Simplify right side
    3,147.44x = 3,960,733.78
  5. Step 5: Solve for x
    x = 3,960,733.78/3,147.44
  6. Step 6: Final answer
    x = 1,258.40

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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.