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Finding the Fourth Proportional to 2,321.99, 3,203.22 and 1,536.70

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Solution

The fourth proportional to 2,321.99, 3,203.22 and 1,536.70 is: 2,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.99 : 3,203.22 = 1,536.70 : x
  2. Step 2: Convert to fraction form
    2,321.99/3,203.22 = 1,536.70/x
  3. Step 3: Cross multiply
    2,321.99x = 3,203.22 × 1,536.70
  4. Step 4: Simplify right side
    2,321.99x = 4,922,385.93
  5. Step 5: Solve for x
    x = 4,922,385.93/2,321.99
  6. Step 6: Final answer
    x = 2,119.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.