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Finding the Fourth Proportional to 2,056.78, 3,085.17 and 517.78

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Solution

The fourth proportional to 2,056.78, 3,085.17 and 517.78 is: 776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.78 : 3,085.17 = 517.78 : x
  2. Step 2: Convert to fraction form
    2,056.78/3,085.17 = 517.78/x
  3. Step 3: Cross multiply
    2,056.78x = 3,085.17 × 517.78
  4. Step 4: Simplify right side
    2,056.78x = 1,597,439.32
  5. Step 5: Solve for x
    x = 1,597,439.32/2,056.78
  6. Step 6: Final answer
    x = 776.67

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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.