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Finding the Fourth Proportional to 2,435.59, 3,653.43 and 680.41

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Solution

The fourth proportional to 2,435.59, 3,653.43 and 680.41 is: 1,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.59 : 3,653.43 = 680.41 : x
  2. Step 2: Convert to fraction form
    2,435.59/3,653.43 = 680.41/x
  3. Step 3: Cross multiply
    2,435.59x = 3,653.43 × 680.41
  4. Step 4: Simplify right side
    2,435.59x = 2,485,830.31
  5. Step 5: Solve for x
    x = 2,485,830.31/2,435.59
  6. Step 6: Final answer
    x = 1,020.63

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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.