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Finding the Fourth Proportional to 1,832.18, 2,748.30 and 533.72

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Solution

The fourth proportional to 1,832.18, 2,748.30 and 533.72 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.18 : 2,748.30 = 533.72 : x
  2. Step 2: Convert to fraction form
    1,832.18/2,748.30 = 533.72/x
  3. Step 3: Cross multiply
    1,832.18x = 2,748.30 × 533.72
  4. Step 4: Simplify right side
    1,832.18x = 1,466,822.68
  5. Step 5: Solve for x
    x = 1,466,822.68/1,832.18
  6. Step 6: Final answer
    x = 800.59

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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.