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Finding the Fourth Proportional to 1,919.49, 2,649.11 and 1,080.22

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Solution

The fourth proportional to 1,919.49, 2,649.11 and 1,080.22 is: 1,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.49 : 2,649.11 = 1,080.22 : x
  2. Step 2: Convert to fraction form
    1,919.49/2,649.11 = 1,080.22/x
  3. Step 3: Cross multiply
    1,919.49x = 2,649.11 × 1,080.22
  4. Step 4: Simplify right side
    1,919.49x = 2,861,621.60
  5. Step 5: Solve for x
    x = 2,861,621.60/1,919.49
  6. Step 6: Final answer
    x = 1,490.82

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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.