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Finding the Fourth Proportional to 1,967.69, 2,950.17 and 871.46

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Solution

The fourth proportional to 1,967.69, 2,950.17 and 871.46 is: 1,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.69 : 2,950.17 = 871.46 : x
  2. Step 2: Convert to fraction form
    1,967.69/2,950.17 = 871.46/x
  3. Step 3: Cross multiply
    1,967.69x = 2,950.17 × 871.46
  4. Step 4: Simplify right side
    1,967.69x = 2,570,955.15
  5. Step 5: Solve for x
    x = 2,570,955.15/1,967.69
  6. Step 6: Final answer
    x = 1,306.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.