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Finding the Fourth Proportional to 1,883.53, 2,826.14 and 729.37

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Solution

The fourth proportional to 1,883.53, 2,826.14 and 729.37 is: 1,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.53 : 2,826.14 = 729.37 : x
  2. Step 2: Convert to fraction form
    1,883.53/2,826.14 = 729.37/x
  3. Step 3: Cross multiply
    1,883.53x = 2,826.14 × 729.37
  4. Step 4: Simplify right side
    1,883.53x = 2,061,298.08
  5. Step 5: Solve for x
    x = 2,061,298.08/1,883.53
  6. Step 6: Final answer
    x = 1,094.38

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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.