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Finding the Fourth Proportional to 1,824.24, 2,737.20 and 784.56

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Solution

The fourth proportional to 1,824.24, 2,737.20 and 784.56 is: 1,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.24 : 2,737.20 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,824.24/2,737.20 = 784.56/x
  3. Step 3: Cross multiply
    1,824.24x = 2,737.20 × 784.56
  4. Step 4: Simplify right side
    1,824.24x = 2,147,497.63
  5. Step 5: Solve for x
    x = 2,147,497.63/1,824.24
  6. Step 6: Final answer
    x = 1,177.20

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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.