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Finding the Fourth Proportional to 1,729.33, 2,386.48 and 943.39

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Solution

The fourth proportional to 1,729.33, 2,386.48 and 943.39 is: 1,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.33 : 2,386.48 = 943.39 : x
  2. Step 2: Convert to fraction form
    1,729.33/2,386.48 = 943.39/x
  3. Step 3: Cross multiply
    1,729.33x = 2,386.48 × 943.39
  4. Step 4: Simplify right side
    1,729.33x = 2,251,383.76
  5. Step 5: Solve for x
    x = 2,251,383.76/1,729.33
  6. Step 6: Final answer
    x = 1,301.88

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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.