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Finding the Fourth Proportional to 2,190.75, 3,285.14 and 630.40

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Solution

The fourth proportional to 2,190.75, 3,285.14 and 630.40 is: 945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.75 : 3,285.14 = 630.40 : x
  2. Step 2: Convert to fraction form
    2,190.75/3,285.14 = 630.40/x
  3. Step 3: Cross multiply
    2,190.75x = 3,285.14 × 630.40
  4. Step 4: Simplify right side
    2,190.75x = 2,070,932.68
  5. Step 5: Solve for x
    x = 2,070,932.68/2,190.75
  6. Step 6: Final answer
    x = 945.31

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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.