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Finding the Fourth Proportional to 1,882.25, 2,824.81 and 841.85

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Solution

The fourth proportional to 1,882.25, 2,824.81 and 841.85 is: 1,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.25 : 2,824.81 = 841.85 : x
  2. Step 2: Convert to fraction form
    1,882.25/2,824.81 = 841.85/x
  3. Step 3: Cross multiply
    1,882.25x = 2,824.81 × 841.85
  4. Step 4: Simplify right side
    1,882.25x = 2,378,066.30
  5. Step 5: Solve for x
    x = 2,378,066.30/1,882.25
  6. Step 6: Final answer
    x = 1,263.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.