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Finding the Fourth Proportional to 1,673.18, 2,308.97 and 927.14

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Solution

The fourth proportional to 1,673.18, 2,308.97 and 927.14 is: 1,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.18 : 2,308.97 = 927.14 : x
  2. Step 2: Convert to fraction form
    1,673.18/2,308.97 = 927.14/x
  3. Step 3: Cross multiply
    1,673.18x = 2,308.97 × 927.14
  4. Step 4: Simplify right side
    1,673.18x = 2,140,722.27
  5. Step 5: Solve for x
    x = 2,140,722.27/1,673.18
  6. Step 6: Final answer
    x = 1,279.44

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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.