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Finding the Fourth Proportional to 3,223.84, 4,833 and 1,374.68

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Solution

The fourth proportional to 3,223.84, 4,833 and 1,374.68 is: 2,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.84 : 4,833 = 1,374.68 : x
  2. Step 2: Convert to fraction form
    3,223.84/4,833 = 1,374.68/x
  3. Step 3: Cross multiply
    3,223.84x = 4,833 × 1,374.68
  4. Step 4: Simplify right side
    3,223.84x = 6,643,828.44
  5. Step 5: Solve for x
    x = 6,643,828.44/3,223.84
  6. Step 6: Final answer
    x = 2,060.84

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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.