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Finding the Fourth Proportional to 2,133.24, 3,200.36 and 900.76

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Solution

The fourth proportional to 2,133.24, 3,200.36 and 900.76 is: 1,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.24 : 3,200.36 = 900.76 : x
  2. Step 2: Convert to fraction form
    2,133.24/3,200.36 = 900.76/x
  3. Step 3: Cross multiply
    2,133.24x = 3,200.36 × 900.76
  4. Step 4: Simplify right side
    2,133.24x = 2,882,756.27
  5. Step 5: Solve for x
    x = 2,882,756.27/2,133.24
  6. Step 6: Final answer
    x = 1,351.35

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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.