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Finding the Fourth Proportional to 2,511, 3,767.29 and 1,125.50

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Solution

The fourth proportional to 2,511, 3,767.29 and 1,125.50 is: 1,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,767.29 = 1,125.50 : x
  2. Step 2: Convert to fraction form
    2,511/3,767.29 = 1,125.50/x
  3. Step 3: Cross multiply
    2,511x = 3,767.29 × 1,125.50
  4. Step 4: Simplify right side
    2,511x = 4,240,084.90
  5. Step 5: Solve for x
    x = 4,240,084.90/2,511
  6. Step 6: Final answer
    x = 1,688.60

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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.