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Finding the Fourth Proportional to 2,511.50, 3,765.19 and 950.62

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Solution

The fourth proportional to 2,511.50, 3,765.19 and 950.62 is: 1,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.50 : 3,765.19 = 950.62 : x
  2. Step 2: Convert to fraction form
    2,511.50/3,765.19 = 950.62/x
  3. Step 3: Cross multiply
    2,511.50x = 3,765.19 × 950.62
  4. Step 4: Simplify right side
    2,511.50x = 3,579,264.92
  5. Step 5: Solve for x
    x = 3,579,264.92/2,511.50
  6. Step 6: Final answer
    x = 1,425.15

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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.