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Finding the Fourth Proportional to 2,767, 3,818.70 and 1,525.24

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Solution

The fourth proportional to 2,767, 3,818.70 and 1,525.24 is: 2,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767 : 3,818.70 = 1,525.24 : x
  2. Step 2: Convert to fraction form
    2,767/3,818.70 = 1,525.24/x
  3. Step 3: Cross multiply
    2,767x = 3,818.70 × 1,525.24
  4. Step 4: Simplify right side
    2,767x = 5,824,433.99
  5. Step 5: Solve for x
    x = 5,824,433.99/2,767
  6. Step 6: Final answer
    x = 2,104.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.