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Finding the Fourth Proportional to 1,950.29, 2,691.45 and 1,164.79

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Solution

The fourth proportional to 1,950.29, 2,691.45 and 1,164.79 is: 1,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.29 : 2,691.45 = 1,164.79 : x
  2. Step 2: Convert to fraction form
    1,950.29/2,691.45 = 1,164.79/x
  3. Step 3: Cross multiply
    1,950.29x = 2,691.45 × 1,164.79
  4. Step 4: Simplify right side
    1,950.29x = 3,134,954.76
  5. Step 5: Solve for x
    x = 3,134,954.76/1,950.29
  6. Step 6: Final answer
    x = 1,607.43

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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.