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Finding the Fourth Proportional to 1,884.32, 2,824.38 and 787.94

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Solution

The fourth proportional to 1,884.32, 2,824.38 and 787.94 is: 1,181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.32 : 2,824.38 = 787.94 : x
  2. Step 2: Convert to fraction form
    1,884.32/2,824.38 = 787.94/x
  3. Step 3: Cross multiply
    1,884.32x = 2,824.38 × 787.94
  4. Step 4: Simplify right side
    1,884.32x = 2,225,441.98
  5. Step 5: Solve for x
    x = 2,225,441.98/1,884.32
  6. Step 6: Final answer
    x = 1,181.03

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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.