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Finding the Fourth Proportional to 1,667.75, 2,498.38 and 896.63

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Solution

The fourth proportional to 1,667.75, 2,498.38 and 896.63 is: 1,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.75 : 2,498.38 = 896.63 : x
  2. Step 2: Convert to fraction form
    1,667.75/2,498.38 = 896.63/x
  3. Step 3: Cross multiply
    1,667.75x = 2,498.38 × 896.63
  4. Step 4: Simplify right side
    1,667.75x = 2,240,107.73
  5. Step 5: Solve for x
    x = 2,240,107.73/1,667.75
  6. Step 6: Final answer
    x = 1,343.20

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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.