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Finding the Fourth Proportional to 2,344.14, 3,512.73 and 1,026.67

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Solution

The fourth proportional to 2,344.14, 3,512.73 and 1,026.67 is: 1,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.14 : 3,512.73 = 1,026.67 : x
  2. Step 2: Convert to fraction form
    2,344.14/3,512.73 = 1,026.67/x
  3. Step 3: Cross multiply
    2,344.14x = 3,512.73 × 1,026.67
  4. Step 4: Simplify right side
    2,344.14x = 3,606,414.51
  5. Step 5: Solve for x
    x = 3,606,414.51/2,344.14
  6. Step 6: Final answer
    x = 1,538.48

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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.