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Finding the Fourth Proportional to 1,832.08, 2,748.52 and 533.44

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Solution

The fourth proportional to 1,832.08, 2,748.52 and 533.44 is: 800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.08 : 2,748.52 = 533.44 : x
  2. Step 2: Convert to fraction form
    1,832.08/2,748.52 = 533.44/x
  3. Step 3: Cross multiply
    1,832.08x = 2,748.52 × 533.44
  4. Step 4: Simplify right side
    1,832.08x = 1,466,170.51
  5. Step 5: Solve for x
    x = 1,466,170.51/1,832.08
  6. Step 6: Final answer
    x = 800.28

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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.