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Finding the Fourth Proportional to 2,150.98, 3,225.42 and 901.34

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Solution

The fourth proportional to 2,150.98, 3,225.42 and 901.34 is: 1,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.98 : 3,225.42 = 901.34 : x
  2. Step 2: Convert to fraction form
    2,150.98/3,225.42 = 901.34/x
  3. Step 3: Cross multiply
    2,150.98x = 3,225.42 × 901.34
  4. Step 4: Simplify right side
    2,150.98x = 2,907,200.06
  5. Step 5: Solve for x
    x = 2,907,200.06/2,150.98
  6. Step 6: Final answer
    x = 1,351.57

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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.