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Finding the Fourth Proportional to 2,244.95, 3,366.59 and 945.71

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Solution

The fourth proportional to 2,244.95, 3,366.59 and 945.71 is: 1,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.95 : 3,366.59 = 945.71 : x
  2. Step 2: Convert to fraction form
    2,244.95/3,366.59 = 945.71/x
  3. Step 3: Cross multiply
    2,244.95x = 3,366.59 × 945.71
  4. Step 4: Simplify right side
    2,244.95x = 3,183,796.27
  5. Step 5: Solve for x
    x = 3,183,796.27/2,244.95
  6. Step 6: Final answer
    x = 1,418.21

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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.