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Finding the Fourth Proportional to 2,546.98, 3,514.65 and 1,412.63

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Solution

The fourth proportional to 2,546.98, 3,514.65 and 1,412.63 is: 1,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.98 : 3,514.65 = 1,412.63 : x
  2. Step 2: Convert to fraction form
    2,546.98/3,514.65 = 1,412.63/x
  3. Step 3: Cross multiply
    2,546.98x = 3,514.65 × 1,412.63
  4. Step 4: Simplify right side
    2,546.98x = 4,964,912.35
  5. Step 5: Solve for x
    x = 4,964,912.35/2,546.98
  6. Step 6: Final answer
    x = 1,949.33

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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.