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Finding the Fourth Proportional to 1,832.62, 2,528.04 and 1,202.98

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Solution

The fourth proportional to 1,832.62, 2,528.04 and 1,202.98 is: 1,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.62 : 2,528.04 = 1,202.98 : x
  2. Step 2: Convert to fraction form
    1,832.62/2,528.04 = 1,202.98/x
  3. Step 3: Cross multiply
    1,832.62x = 2,528.04 × 1,202.98
  4. Step 4: Simplify right side
    1,832.62x = 3,041,181.56
  5. Step 5: Solve for x
    x = 3,041,181.56/1,832.62
  6. Step 6: Final answer
    x = 1,659.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.