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Finding the Fourth Proportional to 2,514.82, 3,770.83 and 1,033.64

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Solution

The fourth proportional to 2,514.82, 3,770.83 and 1,033.64 is: 1,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.82 : 3,770.83 = 1,033.64 : x
  2. Step 2: Convert to fraction form
    2,514.82/3,770.83 = 1,033.64/x
  3. Step 3: Cross multiply
    2,514.82x = 3,770.83 × 1,033.64
  4. Step 4: Simplify right side
    2,514.82x = 3,897,675.55
  5. Step 5: Solve for x
    x = 3,897,675.55/2,514.82
  6. Step 6: Final answer
    x = 1,549.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.