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Finding the Fourth Proportional to 1,931.33, 2,667.42 and 1,300.76

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Solution

The fourth proportional to 1,931.33, 2,667.42 and 1,300.76 is: 1,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.33 : 2,667.42 = 1,300.76 : x
  2. Step 2: Convert to fraction form
    1,931.33/2,667.42 = 1,300.76/x
  3. Step 3: Cross multiply
    1,931.33x = 2,667.42 × 1,300.76
  4. Step 4: Simplify right side
    1,931.33x = 3,469,669.90
  5. Step 5: Solve for x
    x = 3,469,669.90/1,931.33
  6. Step 6: Final answer
    x = 1,796.52

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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.