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Finding the Fourth Proportional to 3,220.84, 4,832.01 and 1,029.40

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Solution

The fourth proportional to 3,220.84, 4,832.01 and 1,029.40 is: 1,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.84 : 4,832.01 = 1,029.40 : x
  2. Step 2: Convert to fraction form
    3,220.84/4,832.01 = 1,029.40/x
  3. Step 3: Cross multiply
    3,220.84x = 4,832.01 × 1,029.40
  4. Step 4: Simplify right side
    3,220.84x = 4,974,071.09
  5. Step 5: Solve for x
    x = 4,974,071.09/3,220.84
  6. Step 6: Final answer
    x = 1,544.34

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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.