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Finding the Fourth Proportional to 2,667.96, 3,986.64 and 1,923.98

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Solution

The fourth proportional to 2,667.96, 3,986.64 and 1,923.98 is: 2,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.96 : 3,986.64 = 1,923.98 : x
  2. Step 2: Convert to fraction form
    2,667.96/3,986.64 = 1,923.98/x
  3. Step 3: Cross multiply
    2,667.96x = 3,986.64 × 1,923.98
  4. Step 4: Simplify right side
    2,667.96x = 7,670,195.69
  5. Step 5: Solve for x
    x = 7,670,195.69/2,667.96
  6. Step 6: Final answer
    x = 2,874.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.