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Finding the Fourth Proportional to 1,732.68, 2,391.75 and 1,176.03

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Solution

The fourth proportional to 1,732.68, 2,391.75 and 1,176.03 is: 1,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.68 : 2,391.75 = 1,176.03 : x
  2. Step 2: Convert to fraction form
    1,732.68/2,391.75 = 1,176.03/x
  3. Step 3: Cross multiply
    1,732.68x = 2,391.75 × 1,176.03
  4. Step 4: Simplify right side
    1,732.68x = 2,812,769.75
  5. Step 5: Solve for x
    x = 2,812,769.75/1,732.68
  6. Step 6: Final answer
    x = 1,623.36

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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.