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Finding the Fourth Proportional to 2,343.43, 3,512.32 and 1,026.62

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Solution

The fourth proportional to 2,343.43, 3,512.32 and 1,026.62 is: 1,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.43 : 3,512.32 = 1,026.62 : x
  2. Step 2: Convert to fraction form
    2,343.43/3,512.32 = 1,026.62/x
  3. Step 3: Cross multiply
    2,343.43x = 3,512.32 × 1,026.62
  4. Step 4: Simplify right side
    2,343.43x = 3,605,817.96
  5. Step 5: Solve for x
    x = 3,605,817.96/2,343.43
  6. Step 6: Final answer
    x = 1,538.69

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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.