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Finding the Fourth Proportional to 2,056.69, 3,085.03 and 517.69

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Solution

The fourth proportional to 2,056.69, 3,085.03 and 517.69 is: 776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.69 : 3,085.03 = 517.69 : x
  2. Step 2: Convert to fraction form
    2,056.69/3,085.03 = 517.69/x
  3. Step 3: Cross multiply
    2,056.69x = 3,085.03 × 517.69
  4. Step 4: Simplify right side
    2,056.69x = 1,597,082.76
  5. Step 5: Solve for x
    x = 1,597,082.76/2,056.69
  6. Step 6: Final answer
    x = 776.53

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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.