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Finding the Fourth Proportional to 2,950.32, 4,422.24 and 1,974

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Solution

The fourth proportional to 2,950.32, 4,422.24 and 1,974 is: 2,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.32 : 4,422.24 = 1,974 : x
  2. Step 2: Convert to fraction form
    2,950.32/4,422.24 = 1,974/x
  3. Step 3: Cross multiply
    2,950.32x = 4,422.24 × 1,974
  4. Step 4: Simplify right side
    2,950.32x = 8,729,501.76
  5. Step 5: Solve for x
    x = 8,729,501.76/2,950.32
  6. Step 6: Final answer
    x = 2,958.83

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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.