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Finding the Fourth Proportional to 1,673.68, 2,309.16 and 974.56

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Solution

The fourth proportional to 1,673.68, 2,309.16 and 974.56 is: 1,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.68 : 2,309.16 = 974.56 : x
  2. Step 2: Convert to fraction form
    1,673.68/2,309.16 = 974.56/x
  3. Step 3: Cross multiply
    1,673.68x = 2,309.16 × 974.56
  4. Step 4: Simplify right side
    1,673.68x = 2,250,414.97
  5. Step 5: Solve for x
    x = 2,250,414.97/1,673.68
  6. Step 6: Final answer
    x = 1,344.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.