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Finding the Fourth Proportional to 2,633.70, 3,950.68 and 1,594.82

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Solution

The fourth proportional to 2,633.70, 3,950.68 and 1,594.82 is: 2,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.70 : 3,950.68 = 1,594.82 : x
  2. Step 2: Convert to fraction form
    2,633.70/3,950.68 = 1,594.82/x
  3. Step 3: Cross multiply
    2,633.70x = 3,950.68 × 1,594.82
  4. Step 4: Simplify right side
    2,633.70x = 6,300,623.48
  5. Step 5: Solve for x
    x = 6,300,623.48/2,633.70
  6. Step 6: Final answer
    x = 2,392.31

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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.