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Finding the Fourth Proportional to 2,133.32, 3,201.32 and 834.75

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Solution

The fourth proportional to 2,133.32, 3,201.32 and 834.75 is: 1,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.32 : 3,201.32 = 834.75 : x
  2. Step 2: Convert to fraction form
    2,133.32/3,201.32 = 834.75/x
  3. Step 3: Cross multiply
    2,133.32x = 3,201.32 × 834.75
  4. Step 4: Simplify right side
    2,133.32x = 2,672,303.96
  5. Step 5: Solve for x
    x = 2,672,303.96/2,133.32
  6. Step 6: Final answer
    x = 1,252.65

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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.