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Finding the Fourth Proportional to 2,497.44, 3,445.20 and 1,612.80

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Solution

The fourth proportional to 2,497.44, 3,445.20 and 1,612.80 is: 2,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.44 : 3,445.20 = 1,612.80 : x
  2. Step 2: Convert to fraction form
    2,497.44/3,445.20 = 1,612.80/x
  3. Step 3: Cross multiply
    2,497.44x = 3,445.20 × 1,612.80
  4. Step 4: Simplify right side
    2,497.44x = 5,556,418.56
  5. Step 5: Solve for x
    x = 5,556,418.56/2,497.44
  6. Step 6: Final answer
    x = 2,224.85

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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.