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Finding the Fourth Proportional to 1,673.93, 2,310.17 and 927.97

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Solution

The fourth proportional to 1,673.93, 2,310.17 and 927.97 is: 1,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.93 : 2,310.17 = 927.97 : x
  2. Step 2: Convert to fraction form
    1,673.93/2,310.17 = 927.97/x
  3. Step 3: Cross multiply
    1,673.93x = 2,310.17 × 927.97
  4. Step 4: Simplify right side
    1,673.93x = 2,143,758.04
  5. Step 5: Solve for x
    x = 2,143,758.04/1,673.93
  6. Step 6: Final answer
    x = 1,280.67

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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.