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Finding the Fourth Proportional to 2,144.82, 2,956.77 and 1,514.82

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Solution

The fourth proportional to 2,144.82, 2,956.77 and 1,514.82 is: 2,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.82 : 2,956.77 = 1,514.82 : x
  2. Step 2: Convert to fraction form
    2,144.82/2,956.77 = 1,514.82/x
  3. Step 3: Cross multiply
    2,144.82x = 2,956.77 × 1,514.82
  4. Step 4: Simplify right side
    2,144.82x = 4,478,974.33
  5. Step 5: Solve for x
    x = 4,478,974.33/2,144.82
  6. Step 6: Final answer
    x = 2,088.28

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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.