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Finding the Fourth Proportional to 2,903.54, 4,354.97 and 823.73

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Solution

The fourth proportional to 2,903.54, 4,354.97 and 823.73 is: 1,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.54 : 4,354.97 = 823.73 : x
  2. Step 2: Convert to fraction form
    2,903.54/4,354.97 = 823.73/x
  3. Step 3: Cross multiply
    2,903.54x = 4,354.97 × 823.73
  4. Step 4: Simplify right side
    2,903.54x = 3,587,293.54
  5. Step 5: Solve for x
    x = 3,587,293.54/2,903.54
  6. Step 6: Final answer
    x = 1,235.49

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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.