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Finding the Fourth Proportional to 2,853.74, 3,937.11 and 1,674.38

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Solution

The fourth proportional to 2,853.74, 3,937.11 and 1,674.38 is: 2,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.74 : 3,937.11 = 1,674.38 : x
  2. Step 2: Convert to fraction form
    2,853.74/3,937.11 = 1,674.38/x
  3. Step 3: Cross multiply
    2,853.74x = 3,937.11 × 1,674.38
  4. Step 4: Simplify right side
    2,853.74x = 6,592,218.24
  5. Step 5: Solve for x
    x = 6,592,218.24/2,853.74
  6. Step 6: Final answer
    x = 2,310.03

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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.