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Finding the Fourth Proportional to 1,719.11, 2,576.66 and 731.61

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Solution

The fourth proportional to 1,719.11, 2,576.66 and 731.61 is: 1,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.11 : 2,576.66 = 731.61 : x
  2. Step 2: Convert to fraction form
    1,719.11/2,576.66 = 731.61/x
  3. Step 3: Cross multiply
    1,719.11x = 2,576.66 × 731.61
  4. Step 4: Simplify right side
    1,719.11x = 1,885,109.31
  5. Step 5: Solve for x
    x = 1,885,109.31/1,719.11
  6. Step 6: Final answer
    x = 1,096.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.