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Finding the Fourth Proportional to 1,514.85, 2,090.25 and 851.70

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Solution

The fourth proportional to 1,514.85, 2,090.25 and 851.70 is: 1,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.85 : 2,090.25 = 851.70 : x
  2. Step 2: Convert to fraction form
    1,514.85/2,090.25 = 851.70/x
  3. Step 3: Cross multiply
    1,514.85x = 2,090.25 × 851.70
  4. Step 4: Simplify right side
    1,514.85x = 1,780,265.93
  5. Step 5: Solve for x
    x = 1,780,265.93/1,514.85
  6. Step 6: Final answer
    x = 1,175.21

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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.