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Finding the Fourth Proportional to 1,514.63, 2,090.17 and 851.47

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Solution

The fourth proportional to 1,514.63, 2,090.17 and 851.47 is: 1,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.63 : 2,090.17 = 851.47 : x
  2. Step 2: Convert to fraction form
    1,514.63/2,090.17 = 851.47/x
  3. Step 3: Cross multiply
    1,514.63x = 2,090.17 × 851.47
  4. Step 4: Simplify right side
    1,514.63x = 1,779,717.05
  5. Step 5: Solve for x
    x = 1,779,717.05/1,514.63
  6. Step 6: Final answer
    x = 1,175.02

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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.