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Finding the Fourth Proportional to 1,729.05, 2,386.09 and 943.11

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Solution

The fourth proportional to 1,729.05, 2,386.09 and 943.11 is: 1,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.05 : 2,386.09 = 943.11 : x
  2. Step 2: Convert to fraction form
    1,729.05/2,386.09 = 943.11/x
  3. Step 3: Cross multiply
    1,729.05x = 2,386.09 × 943.11
  4. Step 4: Simplify right side
    1,729.05x = 2,250,346.52
  5. Step 5: Solve for x
    x = 2,250,346.52/1,729.05
  6. Step 6: Final answer
    x = 1,301.50

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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.