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Finding the Fourth Proportional to 2,133.27, 3,200.04 and 746.46

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Solution

The fourth proportional to 2,133.27, 3,200.04 and 746.46 is: 1,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.27 : 3,200.04 = 746.46 : x
  2. Step 2: Convert to fraction form
    2,133.27/3,200.04 = 746.46/x
  3. Step 3: Cross multiply
    2,133.27x = 3,200.04 × 746.46
  4. Step 4: Simplify right side
    2,133.27x = 2,388,701.86
  5. Step 5: Solve for x
    x = 2,388,701.86/2,133.27
  6. Step 6: Final answer
    x = 1,119.74

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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.