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Finding the Fourth Proportional to 2,133.30, 3,200.05 and 672.57

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Solution

The fourth proportional to 2,133.30, 3,200.05 and 672.57 is: 1,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.30 : 3,200.05 = 672.57 : x
  2. Step 2: Convert to fraction form
    2,133.30/3,200.05 = 672.57/x
  3. Step 3: Cross multiply
    2,133.30x = 3,200.05 × 672.57
  4. Step 4: Simplify right side
    2,133.30x = 2,152,241.63
  5. Step 5: Solve for x
    x = 2,152,241.63/2,133.30
  6. Step 6: Final answer
    x = 1,008.88

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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.