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Finding the Fourth Proportional to 1,884.45, 2,824.35 and 1,366.23

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Solution

The fourth proportional to 1,884.45, 2,824.35 and 1,366.23 is: 2,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.45 : 2,824.35 = 1,366.23 : x
  2. Step 2: Convert to fraction form
    1,884.45/2,824.35 = 1,366.23/x
  3. Step 3: Cross multiply
    1,884.45x = 2,824.35 × 1,366.23
  4. Step 4: Simplify right side
    1,884.45x = 3,858,711.70
  5. Step 5: Solve for x
    x = 3,858,711.70/1,884.45
  6. Step 6: Final answer
    x = 2,047.66

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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.