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Finding the Fourth Proportional to 1,515.21, 2,268.27 and 994.20

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Solution

The fourth proportional to 1,515.21, 2,268.27 and 994.20 is: 1,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.21 : 2,268.27 = 994.20 : x
  2. Step 2: Convert to fraction form
    1,515.21/2,268.27 = 994.20/x
  3. Step 3: Cross multiply
    1,515.21x = 2,268.27 × 994.20
  4. Step 4: Simplify right side
    1,515.21x = 2,255,114.03
  5. Step 5: Solve for x
    x = 2,255,114.03/1,515.21
  6. Step 6: Final answer
    x = 1,488.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.