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Finding the Fourth Proportional to 2,927.54, 4,391.62 and 979.90

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Solution

The fourth proportional to 2,927.54, 4,391.62 and 979.90 is: 1,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.54 : 4,391.62 = 979.90 : x
  2. Step 2: Convert to fraction form
    2,927.54/4,391.62 = 979.90/x
  3. Step 3: Cross multiply
    2,927.54x = 4,391.62 × 979.90
  4. Step 4: Simplify right side
    2,927.54x = 4,303,335.01
  5. Step 5: Solve for x
    x = 4,303,335.01/2,927.54
  6. Step 6: Final answer
    x = 1,469.95

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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.