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Finding the Fourth Proportional to 1,823.50, 2,733.62 and 849.07

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Solution

The fourth proportional to 1,823.50, 2,733.62 and 849.07 is: 1,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.50 : 2,733.62 = 849.07 : x
  2. Step 2: Convert to fraction form
    1,823.50/2,733.62 = 849.07/x
  3. Step 3: Cross multiply
    1,823.50x = 2,733.62 × 849.07
  4. Step 4: Simplify right side
    1,823.50x = 2,321,034.73
  5. Step 5: Solve for x
    x = 2,321,034.73/1,823.50
  6. Step 6: Final answer
    x = 1,272.85

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1.5x scale

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.