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Finding the Fourth Proportional to 3,215.97, 4,824 and 1,026.54

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Solution

The fourth proportional to 3,215.97, 4,824 and 1,026.54 is: 1,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.97 : 4,824 = 1,026.54 : x
  2. Step 2: Convert to fraction form
    3,215.97/4,824 = 1,026.54/x
  3. Step 3: Cross multiply
    3,215.97x = 4,824 × 1,026.54
  4. Step 4: Simplify right side
    3,215.97x = 4,952,028.96
  5. Step 5: Solve for x
    x = 4,952,028.96/3,215.97
  6. Step 6: Final answer
    x = 1,539.82

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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.