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Finding the Fourth Proportional to 1,514.25, 2,272.29 and 993.03

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Solution

The fourth proportional to 1,514.25, 2,272.29 and 993.03 is: 1,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.25 : 2,272.29 = 993.03 : x
  2. Step 2: Convert to fraction form
    1,514.25/2,272.29 = 993.03/x
  3. Step 3: Cross multiply
    1,514.25x = 2,272.29 × 993.03
  4. Step 4: Simplify right side
    1,514.25x = 2,256,452.14
  5. Step 5: Solve for x
    x = 2,256,452.14/1,514.25
  6. Step 6: Final answer
    x = 1,490.15

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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.