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Finding the Fourth Proportional to 2,056.62, 3,084.96 and 1,234.50

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Solution

The fourth proportional to 2,056.62, 3,084.96 and 1,234.50 is: 1,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.62 : 3,084.96 = 1,234.50 : x
  2. Step 2: Convert to fraction form
    2,056.62/3,084.96 = 1,234.50/x
  3. Step 3: Cross multiply
    2,056.62x = 3,084.96 × 1,234.50
  4. Step 4: Simplify right side
    2,056.62x = 3,808,383.12
  5. Step 5: Solve for x
    x = 3,808,383.12/2,056.62
  6. Step 6: Final answer
    x = 1,851.77

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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.