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Finding the Fourth Proportional to 2,014.26, 3,021.39 and 553.63

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Solution

The fourth proportional to 2,014.26, 3,021.39 and 553.63 is: 830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.26 : 3,021.39 = 553.63 : x
  2. Step 2: Convert to fraction form
    2,014.26/3,021.39 = 553.63/x
  3. Step 3: Cross multiply
    2,014.26x = 3,021.39 × 553.63
  4. Step 4: Simplify right side
    2,014.26x = 1,672,714.27
  5. Step 5: Solve for x
    x = 1,672,714.27/2,014.26
  6. Step 6: Final answer
    x = 830.44

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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.