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Finding the Fourth Proportional to 1,604.37, 2,406.32 and 1,332.21

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Solution

The fourth proportional to 1,604.37, 2,406.32 and 1,332.21 is: 1,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.37 : 2,406.32 = 1,332.21 : x
  2. Step 2: Convert to fraction form
    1,604.37/2,406.32 = 1,332.21/x
  3. Step 3: Cross multiply
    1,604.37x = 2,406.32 × 1,332.21
  4. Step 4: Simplify right side
    1,604.37x = 3,205,716.91
  5. Step 5: Solve for x
    x = 3,205,716.91/1,604.37
  6. Step 6: Final answer
    x = 1,998.12

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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.