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Finding the Fourth Proportional to 2,514.46, 3,770.26 and 1,033.26

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Solution

The fourth proportional to 2,514.46, 3,770.26 and 1,033.26 is: 1,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.46 : 3,770.26 = 1,033.26 : x
  2. Step 2: Convert to fraction form
    2,514.46/3,770.26 = 1,033.26/x
  3. Step 3: Cross multiply
    2,514.46x = 3,770.26 × 1,033.26
  4. Step 4: Simplify right side
    2,514.46x = 3,895,658.85
  5. Step 5: Solve for x
    x = 3,895,658.85/2,514.46
  6. Step 6: Final answer
    x = 1,549.30

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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.