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Finding the Fourth Proportional to 2,190.14, 3,285.28 and 956.92

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Solution

The fourth proportional to 2,190.14, 3,285.28 and 956.92 is: 1,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.14 : 3,285.28 = 956.92 : x
  2. Step 2: Convert to fraction form
    2,190.14/3,285.28 = 956.92/x
  3. Step 3: Cross multiply
    2,190.14x = 3,285.28 × 956.92
  4. Step 4: Simplify right side
    2,190.14x = 3,143,750.14
  5. Step 5: Solve for x
    x = 3,143,750.14/2,190.14
  6. Step 6: Final answer
    x = 1,435.41

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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.