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Finding the Fourth Proportional to 2,750.50, 4,127.17 and 1,763.84

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Solution

The fourth proportional to 2,750.50, 4,127.17 and 1,763.84 is: 2,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.50 : 4,127.17 = 1,763.84 : x
  2. Step 2: Convert to fraction form
    2,750.50/4,127.17 = 1,763.84/x
  3. Step 3: Cross multiply
    2,750.50x = 4,127.17 × 1,763.84
  4. Step 4: Simplify right side
    2,750.50x = 7,279,667.53
  5. Step 5: Solve for x
    x = 7,279,667.53/2,750.50
  6. Step 6: Final answer
    x = 2,646.67

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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.