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Finding the Fourth Proportional to 2,082.76, 3,124.14 and 543.76

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Solution

The fourth proportional to 2,082.76, 3,124.14 and 543.76 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.76 : 3,124.14 = 543.76 : x
  2. Step 2: Convert to fraction form
    2,082.76/3,124.14 = 543.76/x
  3. Step 3: Cross multiply
    2,082.76x = 3,124.14 × 543.76
  4. Step 4: Simplify right side
    2,082.76x = 1,698,773.20
  5. Step 5: Solve for x
    x = 1,698,773.20/2,082.76
  6. Step 6: Final answer
    x = 815.64

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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.