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Finding the Fourth Proportional to 2,838.35, 4,256.62 and 938.24

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Solution

The fourth proportional to 2,838.35, 4,256.62 and 938.24 is: 1,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.35 : 4,256.62 = 938.24 : x
  2. Step 2: Convert to fraction form
    2,838.35/4,256.62 = 938.24/x
  3. Step 3: Cross multiply
    2,838.35x = 4,256.62 × 938.24
  4. Step 4: Simplify right side
    2,838.35x = 3,993,747.43
  5. Step 5: Solve for x
    x = 3,993,747.43/2,838.35
  6. Step 6: Final answer
    x = 1,407.07

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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.