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Finding the Fourth Proportional to 3,216.69, 4,825.37 and 1,024.90

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Solution

The fourth proportional to 3,216.69, 4,825.37 and 1,024.90 is: 1,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.69 : 4,825.37 = 1,024.90 : x
  2. Step 2: Convert to fraction form
    3,216.69/4,825.37 = 1,024.90/x
  3. Step 3: Cross multiply
    3,216.69x = 4,825.37 × 1,024.90
  4. Step 4: Simplify right side
    3,216.69x = 4,945,512.21
  5. Step 5: Solve for x
    x = 4,945,512.21/3,216.69
  6. Step 6: Final answer
    x = 1,537.45

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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.