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Finding the Fourth Proportional to 2,348.41, 3,240.81 and 1,464.22

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Solution

The fourth proportional to 2,348.41, 3,240.81 and 1,464.22 is: 2,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.41 : 3,240.81 = 1,464.22 : x
  2. Step 2: Convert to fraction form
    2,348.41/3,240.81 = 1,464.22/x
  3. Step 3: Cross multiply
    2,348.41x = 3,240.81 × 1,464.22
  4. Step 4: Simplify right side
    2,348.41x = 4,745,258.82
  5. Step 5: Solve for x
    x = 4,745,258.82/2,348.41
  6. Step 6: Final answer
    x = 2,020.63

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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.