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Finding the Fourth Proportional to 2,224.96, 3,070.42 and 1,230.26

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Solution

The fourth proportional to 2,224.96, 3,070.42 and 1,230.26 is: 1,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.96 : 3,070.42 = 1,230.26 : x
  2. Step 2: Convert to fraction form
    2,224.96/3,070.42 = 1,230.26/x
  3. Step 3: Cross multiply
    2,224.96x = 3,070.42 × 1,230.26
  4. Step 4: Simplify right side
    2,224.96x = 3,777,414.91
  5. Step 5: Solve for x
    x = 3,777,414.91/2,224.96
  6. Step 6: Final answer
    x = 1,697.75

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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.