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Finding the Fourth Proportional to 3,216.84, 4,825.70 and 1,024.81

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Solution

The fourth proportional to 3,216.84, 4,825.70 and 1,024.81 is: 1,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.84 : 4,825.70 = 1,024.81 : x
  2. Step 2: Convert to fraction form
    3,216.84/4,825.70 = 1,024.81/x
  3. Step 3: Cross multiply
    3,216.84x = 4,825.70 × 1,024.81
  4. Step 4: Simplify right side
    3,216.84x = 4,945,425.62
  5. Step 5: Solve for x
    x = 4,945,425.62/3,216.84
  6. Step 6: Final answer
    x = 1,537.36

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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.