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Finding the Fourth Proportional to 1,823.74, 2,733.72 and 849.04

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Solution

The fourth proportional to 1,823.74, 2,733.72 and 849.04 is: 1,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.74 : 2,733.72 = 849.04 : x
  2. Step 2: Convert to fraction form
    1,823.74/2,733.72 = 849.04/x
  3. Step 3: Cross multiply
    1,823.74x = 2,733.72 × 849.04
  4. Step 4: Simplify right side
    1,823.74x = 2,321,037.63
  5. Step 5: Solve for x
    x = 2,321,037.63/1,823.74
  6. Step 6: Final answer
    x = 1,272.68

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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.