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Finding the Fourth Proportional to 2,128.68, 2,930.63 and 1,679.73

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Solution

The fourth proportional to 2,128.68, 2,930.63 and 1,679.73 is: 2,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.68 : 2,930.63 = 1,679.73 : x
  2. Step 2: Convert to fraction form
    2,128.68/2,930.63 = 1,679.73/x
  3. Step 3: Cross multiply
    2,128.68x = 2,930.63 × 1,679.73
  4. Step 4: Simplify right side
    2,128.68x = 4,922,667.13
  5. Step 5: Solve for x
    x = 4,922,667.13/2,128.68
  6. Step 6: Final answer
    x = 2,312.54

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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.