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Finding the Fourth Proportional to 1,824.53, 2,736.95 and 784.56

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Solution

The fourth proportional to 1,824.53, 2,736.95 and 784.56 is: 1,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.53 : 2,736.95 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,824.53/2,736.95 = 784.56/x
  3. Step 3: Cross multiply
    1,824.53x = 2,736.95 × 784.56
  4. Step 4: Simplify right side
    1,824.53x = 2,147,297.57
  5. Step 5: Solve for x
    x = 2,147,297.57/1,824.53
  6. Step 6: Final answer
    x = 1,176.90

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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.