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Finding the Fourth Proportional to 1,884.84, 2,823.15 and 1,152.20

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Solution

The fourth proportional to 1,884.84, 2,823.15 and 1,152.20 is: 1,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.84 : 2,823.15 = 1,152.20 : x
  2. Step 2: Convert to fraction form
    1,884.84/2,823.15 = 1,152.20/x
  3. Step 3: Cross multiply
    1,884.84x = 2,823.15 × 1,152.20
  4. Step 4: Simplify right side
    1,884.84x = 3,252,819.31
  5. Step 5: Solve for x
    x = 3,252,819.31/1,884.84
  6. Step 6: Final answer
    x = 1,725.78

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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.