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Finding the Fourth Proportional to 2,000.22, 3,000.33 and 1,514.22

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Solution

The fourth proportional to 2,000.22, 3,000.33 and 1,514.22 is: 2,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.22 : 3,000.33 = 1,514.22 : x
  2. Step 2: Convert to fraction form
    2,000.22/3,000.33 = 1,514.22/x
  3. Step 3: Cross multiply
    2,000.22x = 3,000.33 × 1,514.22
  4. Step 4: Simplify right side
    2,000.22x = 4,543,159.69
  5. Step 5: Solve for x
    x = 4,543,159.69/2,000.22
  6. Step 6: Final answer
    x = 2,271.33

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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.