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Finding the Fourth Proportional to 3,283.83, 4,925.84 and 1,832.22

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Solution

The fourth proportional to 3,283.83, 4,925.84 and 1,832.22 is: 2,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.83 : 4,925.84 = 1,832.22 : x
  2. Step 2: Convert to fraction form
    3,283.83/4,925.84 = 1,832.22/x
  3. Step 3: Cross multiply
    3,283.83x = 4,925.84 × 1,832.22
  4. Step 4: Simplify right side
    3,283.83x = 9,025,213.40
  5. Step 5: Solve for x
    x = 9,025,213.40/3,283.83
  6. Step 6: Final answer
    x = 2,748.38

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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.