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Finding the Fourth Proportional to 1,823.04, 2,735.78 and 849.24

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Solution

The fourth proportional to 1,823.04, 2,735.78 and 849.24 is: 1,274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.04 : 2,735.78 = 849.24 : x
  2. Step 2: Convert to fraction form
    1,823.04/2,735.78 = 849.24/x
  3. Step 3: Cross multiply
    1,823.04x = 2,735.78 × 849.24
  4. Step 4: Simplify right side
    1,823.04x = 2,323,329.56
  5. Step 5: Solve for x
    x = 2,323,329.56/1,823.04
  6. Step 6: Final answer
    x = 1,274.43

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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.