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Finding the Fourth Proportional to 1,514.42, 2,090.10 and 851.31

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Solution

The fourth proportional to 1,514.42, 2,090.10 and 851.31 is: 1,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.42 : 2,090.10 = 851.31 : x
  2. Step 2: Convert to fraction form
    1,514.42/2,090.10 = 851.31/x
  3. Step 3: Cross multiply
    1,514.42x = 2,090.10 × 851.31
  4. Step 4: Simplify right side
    1,514.42x = 1,779,323.03
  5. Step 5: Solve for x
    x = 1,779,323.03/1,514.42
  6. Step 6: Final answer
    x = 1,174.92

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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.