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Finding the Fourth Proportional to 2,426.56, 3,348.97 and 1,764.07

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Solution

The fourth proportional to 2,426.56, 3,348.97 and 1,764.07 is: 2,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.56 : 3,348.97 = 1,764.07 : x
  2. Step 2: Convert to fraction form
    2,426.56/3,348.97 = 1,764.07/x
  3. Step 3: Cross multiply
    2,426.56x = 3,348.97 × 1,764.07
  4. Step 4: Simplify right side
    2,426.56x = 5,907,804.73
  5. Step 5: Solve for x
    x = 5,907,804.73/2,426.56
  6. Step 6: Final answer
    x = 2,434.64

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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.