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Finding the Fourth Proportional to 2,826.32, 4,238.58 and 1,958

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Solution

The fourth proportional to 2,826.32, 4,238.58 and 1,958 is: 2,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.32 : 4,238.58 = 1,958 : x
  2. Step 2: Convert to fraction form
    2,826.32/4,238.58 = 1,958/x
  3. Step 3: Cross multiply
    2,826.32x = 4,238.58 × 1,958
  4. Step 4: Simplify right side
    2,826.32x = 8,299,139.64
  5. Step 5: Solve for x
    x = 8,299,139.64/2,826.32
  6. Step 6: Final answer
    x = 2,936.38

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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.