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Finding the Fourth Proportional to 2,944.23, 4,416.95 and 996.59

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Solution

The fourth proportional to 2,944.23, 4,416.95 and 996.59 is: 1,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.23 : 4,416.95 = 996.59 : x
  2. Step 2: Convert to fraction form
    2,944.23/4,416.95 = 996.59/x
  3. Step 3: Cross multiply
    2,944.23x = 4,416.95 × 996.59
  4. Step 4: Simplify right side
    2,944.23x = 4,401,868.61
  5. Step 5: Solve for x
    x = 4,401,868.61/2,944.23
  6. Step 6: Final answer
    x = 1,495.08

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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.