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Finding the Fourth Proportional to 2,945.48, 4,419 and 997.82

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Solution

The fourth proportional to 2,945.48, 4,419 and 997.82 is: 1,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.48 : 4,419 = 997.82 : x
  2. Step 2: Convert to fraction form
    2,945.48/4,419 = 997.82/x
  3. Step 3: Cross multiply
    2,945.48x = 4,419 × 997.82
  4. Step 4: Simplify right side
    2,945.48x = 4,409,366.58
  5. Step 5: Solve for x
    x = 4,409,366.58/2,945.48
  6. Step 6: Final answer
    x = 1,496.99

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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.