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Finding the Fourth Proportional to 2,733.74, 4,099.70 and 884.36

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Solution

The fourth proportional to 2,733.74, 4,099.70 and 884.36 is: 1,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.74 : 4,099.70 = 884.36 : x
  2. Step 2: Convert to fraction form
    2,733.74/4,099.70 = 884.36/x
  3. Step 3: Cross multiply
    2,733.74x = 4,099.70 × 884.36
  4. Step 4: Simplify right side
    2,733.74x = 3,625,610.69
  5. Step 5: Solve for x
    x = 3,625,610.69/2,733.74
  6. Step 6: Final answer
    x = 1,326.25

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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.