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Finding the Fourth Proportional to 1,667.56, 2,496.72 and 841.79

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Solution

The fourth proportional to 1,667.56, 2,496.72 and 841.79 is: 1,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.56 : 2,496.72 = 841.79 : x
  2. Step 2: Convert to fraction form
    1,667.56/2,496.72 = 841.79/x
  3. Step 3: Cross multiply
    1,667.56x = 2,496.72 × 841.79
  4. Step 4: Simplify right side
    1,667.56x = 2,101,723.33
  5. Step 5: Solve for x
    x = 2,101,723.33/1,667.56
  6. Step 6: Final answer
    x = 1,260.36

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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.