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Finding the Fourth Proportional to 2,821.84, 4,233 and 1,089.52

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Solution

The fourth proportional to 2,821.84, 4,233 and 1,089.52 is: 1,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.84 : 4,233 = 1,089.52 : x
  2. Step 2: Convert to fraction form
    2,821.84/4,233 = 1,089.52/x
  3. Step 3: Cross multiply
    2,821.84x = 4,233 × 1,089.52
  4. Step 4: Simplify right side
    2,821.84x = 4,611,938.16
  5. Step 5: Solve for x
    x = 4,611,938.16/2,821.84
  6. Step 6: Final answer
    x = 1,634.37

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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.