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Finding the Fourth Proportional to 2,514.44, 3,468.42 and 1,853

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Solution

The fourth proportional to 2,514.44, 3,468.42 and 1,853 is: 2,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.44 : 3,468.42 = 1,853 : x
  2. Step 2: Convert to fraction form
    2,514.44/3,468.42 = 1,853/x
  3. Step 3: Cross multiply
    2,514.44x = 3,468.42 × 1,853
  4. Step 4: Simplify right side
    2,514.44x = 6,426,982.26
  5. Step 5: Solve for x
    x = 6,426,982.26/2,514.44
  6. Step 6: Final answer
    x = 2,556.03

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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.