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Finding the Fourth Proportional to 2,056.77, 3,085.16 and 517.77

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Solution

The fourth proportional to 2,056.77, 3,085.16 and 517.77 is: 776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.77 : 3,085.16 = 517.77 : x
  2. Step 2: Convert to fraction form
    2,056.77/3,085.16 = 517.77/x
  3. Step 3: Cross multiply
    2,056.77x = 3,085.16 × 517.77
  4. Step 4: Simplify right side
    2,056.77x = 1,597,400.70
  5. Step 5: Solve for x
    x = 1,597,400.70/2,056.77
  6. Step 6: Final answer
    x = 776.66

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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.