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Finding the Fourth Proportional to 1,919.55, 2,649.04 and 1,080.23

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Solution

The fourth proportional to 1,919.55, 2,649.04 and 1,080.23 is: 1,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.55 : 2,649.04 = 1,080.23 : x
  2. Step 2: Convert to fraction form
    1,919.55/2,649.04 = 1,080.23/x
  3. Step 3: Cross multiply
    1,919.55x = 2,649.04 × 1,080.23
  4. Step 4: Simplify right side
    1,919.55x = 2,861,576.40
  5. Step 5: Solve for x
    x = 2,861,576.40/1,919.55
  6. Step 6: Final answer
    x = 1,490.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.