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Finding the Fourth Proportional to 1,729.12, 2,386.14 and 943.12

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Solution

The fourth proportional to 1,729.12, 2,386.14 and 943.12 is: 1,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.12 : 2,386.14 = 943.12 : x
  2. Step 2: Convert to fraction form
    1,729.12/2,386.14 = 943.12/x
  3. Step 3: Cross multiply
    1,729.12x = 2,386.14 × 943.12
  4. Step 4: Simplify right side
    1,729.12x = 2,250,416.36
  5. Step 5: Solve for x
    x = 2,250,416.36/1,729.12
  6. Step 6: Final answer
    x = 1,301.48

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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.