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Finding the Fourth Proportional to 4,290.63, 6,435.94 and 1,693.56

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Solution

The fourth proportional to 4,290.63, 6,435.94 and 1,693.56 is: 2,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.63 : 6,435.94 = 1,693.56 : x
  2. Step 2: Convert to fraction form
    4,290.63/6,435.94 = 1,693.56/x
  3. Step 3: Cross multiply
    4,290.63x = 6,435.94 × 1,693.56
  4. Step 4: Simplify right side
    4,290.63x = 10,899,662.40
  5. Step 5: Solve for x
    x = 10,899,662.40/4,290.63
  6. Step 6: Final answer
    x = 2,540.34

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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.