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Finding the Fourth Proportional to 3,219.84, 4,830.51 and 1,028.40

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Solution

The fourth proportional to 3,219.84, 4,830.51 and 1,028.40 is: 1,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.84 : 4,830.51 = 1,028.40 : x
  2. Step 2: Convert to fraction form
    3,219.84/4,830.51 = 1,028.40/x
  3. Step 3: Cross multiply
    3,219.84x = 4,830.51 × 1,028.40
  4. Step 4: Simplify right side
    3,219.84x = 4,967,696.48
  5. Step 5: Solve for x
    x = 4,967,696.48/3,219.84
  6. Step 6: Final answer
    x = 1,542.84

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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.