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Finding the Fourth Proportional to 2,134.02, 3,202.26 and 901.35

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Solution

The fourth proportional to 2,134.02, 3,202.26 and 901.35 is: 1,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.02 : 3,202.26 = 901.35 : x
  2. Step 2: Convert to fraction form
    2,134.02/3,202.26 = 901.35/x
  3. Step 3: Cross multiply
    2,134.02x = 3,202.26 × 901.35
  4. Step 4: Simplify right side
    2,134.02x = 2,886,357.05
  5. Step 5: Solve for x
    x = 2,886,357.05/2,134.02
  6. Step 6: Final answer
    x = 1,352.54

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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.