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Finding the Fourth Proportional to 2,131.56, 3,197.79 and 1,590.21

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Solution

The fourth proportional to 2,131.56, 3,197.79 and 1,590.21 is: 2,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.56 : 3,197.79 = 1,590.21 : x
  2. Step 2: Convert to fraction form
    2,131.56/3,197.79 = 1,590.21/x
  3. Step 3: Cross multiply
    2,131.56x = 3,197.79 × 1,590.21
  4. Step 4: Simplify right side
    2,131.56x = 5,085,157.64
  5. Step 5: Solve for x
    x = 5,085,157.64/2,131.56
  6. Step 6: Final answer
    x = 2,385.65

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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.