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Finding the Fourth Proportional to 2,133.88, 3,200.84 and 594.88

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Solution

The fourth proportional to 2,133.88, 3,200.84 and 594.88 is: 892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.88 : 3,200.84 = 594.88 : x
  2. Step 2: Convert to fraction form
    2,133.88/3,200.84 = 594.88/x
  3. Step 3: Cross multiply
    2,133.88x = 3,200.84 × 594.88
  4. Step 4: Simplify right side
    2,133.88x = 1,904,096.72
  5. Step 5: Solve for x
    x = 1,904,096.72/2,133.88
  6. Step 6: Final answer
    x = 892.32

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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.