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Finding the Fourth Proportional to 2,738.94, 4,108.49 and 890.07

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Solution

The fourth proportional to 2,738.94, 4,108.49 and 890.07 is: 1,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.94 : 4,108.49 = 890.07 : x
  2. Step 2: Convert to fraction form
    2,738.94/4,108.49 = 890.07/x
  3. Step 3: Cross multiply
    2,738.94x = 4,108.49 × 890.07
  4. Step 4: Simplify right side
    2,738.94x = 3,656,839.24
  5. Step 5: Solve for x
    x = 3,656,839.24/2,738.94
  6. Step 6: Final answer
    x = 1,335.13

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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.