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Finding the Fourth Proportional to 1,884.87, 2,823.12 and 1,152.23

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Solution

The fourth proportional to 1,884.87, 2,823.12 and 1,152.23 is: 1,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.87 : 2,823.12 = 1,152.23 : x
  2. Step 2: Convert to fraction form
    1,884.87/2,823.12 = 1,152.23/x
  3. Step 3: Cross multiply
    1,884.87x = 2,823.12 × 1,152.23
  4. Step 4: Simplify right side
    1,884.87x = 3,252,869.44
  5. Step 5: Solve for x
    x = 3,252,869.44/1,884.87
  6. Step 6: Final answer
    x = 1,725.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.