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Finding the Fourth Proportional to 2,133.54, 3,200.76 and 901.71

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Solution

The fourth proportional to 2,133.54, 3,200.76 and 901.71 is: 1,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.54 : 3,200.76 = 901.71 : x
  2. Step 2: Convert to fraction form
    2,133.54/3,200.76 = 901.71/x
  3. Step 3: Cross multiply
    2,133.54x = 3,200.76 × 901.71
  4. Step 4: Simplify right side
    2,133.54x = 2,886,157.30
  5. Step 5: Solve for x
    x = 2,886,157.30/2,133.54
  6. Step 6: Final answer
    x = 1,352.76

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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.