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Finding the Fourth Proportional to 1,832.96, 2,749.16 and 534.08

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Solution

The fourth proportional to 1,832.96, 2,749.16 and 534.08 is: 801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.96 : 2,749.16 = 534.08 : x
  2. Step 2: Convert to fraction form
    1,832.96/2,749.16 = 534.08/x
  3. Step 3: Cross multiply
    1,832.96x = 2,749.16 × 534.08
  4. Step 4: Simplify right side
    1,832.96x = 1,468,271.37
  5. Step 5: Solve for x
    x = 1,468,271.37/1,832.96
  6. Step 6: Final answer
    x = 801.04

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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.