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Finding the Fourth Proportional to 2,223.96, 3,072.21 and 2,024.46

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Solution

The fourth proportional to 2,223.96, 3,072.21 and 2,024.46 is: 2,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.96 : 3,072.21 = 2,024.46 : x
  2. Step 2: Convert to fraction form
    2,223.96/3,072.21 = 2,024.46/x
  3. Step 3: Cross multiply
    2,223.96x = 3,072.21 × 2,024.46
  4. Step 4: Simplify right side
    2,223.96x = 6,219,566.26
  5. Step 5: Solve for x
    x = 6,219,566.26/2,223.96
  6. Step 6: Final answer
    x = 2,796.62

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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.