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Finding the Fourth Proportional to 2,366.87, 3,546.05 and 1,441.94

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Solution

The fourth proportional to 2,366.87, 3,546.05 and 1,441.94 is: 2,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.87 : 3,546.05 = 1,441.94 : x
  2. Step 2: Convert to fraction form
    2,366.87/3,546.05 = 1,441.94/x
  3. Step 3: Cross multiply
    2,366.87x = 3,546.05 × 1,441.94
  4. Step 4: Simplify right side
    2,366.87x = 5,113,166.40
  5. Step 5: Solve for x
    x = 5,113,166.40/2,366.87
  6. Step 6: Final answer
    x = 2,160.31

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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.