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Finding the Fourth Proportional to 2,758.43, 4,137.64 and 706.43

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Solution

The fourth proportional to 2,758.43, 4,137.64 and 706.43 is: 1,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.43 : 4,137.64 = 706.43 : x
  2. Step 2: Convert to fraction form
    2,758.43/4,137.64 = 706.43/x
  3. Step 3: Cross multiply
    2,758.43x = 4,137.64 × 706.43
  4. Step 4: Simplify right side
    2,758.43x = 2,922,954.93
  5. Step 5: Solve for x
    x = 2,922,954.93/2,758.43
  6. Step 6: Final answer
    x = 1,059.64

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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.