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Finding the Fourth Proportional to 1,682, 2,522.12 and 756.76

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Solution

The fourth proportional to 1,682, 2,522.12 and 756.76 is: 1,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682 : 2,522.12 = 756.76 : x
  2. Step 2: Convert to fraction form
    1,682/2,522.12 = 756.76/x
  3. Step 3: Cross multiply
    1,682x = 2,522.12 × 756.76
  4. Step 4: Simplify right side
    1,682x = 1,908,639.53
  5. Step 5: Solve for x
    x = 1,908,639.53/1,682
  6. Step 6: Final answer
    x = 1,134.74

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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.