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Finding the Fourth Proportional to 2,301.47, 3,451.52 and 820.43

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Solution

The fourth proportional to 2,301.47, 3,451.52 and 820.43 is: 1,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.47 : 3,451.52 = 820.43 : x
  2. Step 2: Convert to fraction form
    2,301.47/3,451.52 = 820.43/x
  3. Step 3: Cross multiply
    2,301.47x = 3,451.52 × 820.43
  4. Step 4: Simplify right side
    2,301.47x = 2,831,735.08
  5. Step 5: Solve for x
    x = 2,831,735.08/2,301.47
  6. Step 6: Final answer
    x = 1,230.40

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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.