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Finding the Fourth Proportional to 2,540.81, 3,506.31 and 1,478.82

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Solution

The fourth proportional to 2,540.81, 3,506.31 and 1,478.82 is: 2,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.81 : 3,506.31 = 1,478.82 : x
  2. Step 2: Convert to fraction form
    2,540.81/3,506.31 = 1,478.82/x
  3. Step 3: Cross multiply
    2,540.81x = 3,506.31 × 1,478.82
  4. Step 4: Simplify right side
    2,540.81x = 5,185,201.35
  5. Step 5: Solve for x
    x = 5,185,201.35/2,540.81
  6. Step 6: Final answer
    x = 2,040.77

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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.