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Finding the Fourth Proportional to 1,919.09, 2,876.97 and 994.16

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Solution

The fourth proportional to 1,919.09, 2,876.97 and 994.16 is: 1,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.09 : 2,876.97 = 994.16 : x
  2. Step 2: Convert to fraction form
    1,919.09/2,876.97 = 994.16/x
  3. Step 3: Cross multiply
    1,919.09x = 2,876.97 × 994.16
  4. Step 4: Simplify right side
    1,919.09x = 2,860,168.50
  5. Step 5: Solve for x
    x = 2,860,168.50/1,919.09
  6. Step 6: Final answer
    x = 1,490.38

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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.