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Finding the Fourth Proportional to 2,133.30, 3,200.10 and 1,209.30

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Solution

The fourth proportional to 2,133.30, 3,200.10 and 1,209.30 is: 1,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.30 : 3,200.10 = 1,209.30 : x
  2. Step 2: Convert to fraction form
    2,133.30/3,200.10 = 1,209.30/x
  3. Step 3: Cross multiply
    2,133.30x = 3,200.10 × 1,209.30
  4. Step 4: Simplify right side
    2,133.30x = 3,869,880.93
  5. Step 5: Solve for x
    x = 3,869,880.93/2,133.30
  6. Step 6: Final answer
    x = 1,814.04

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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.