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Finding the Fourth Proportional to 2,623.85, 3,936.45 and 980.41

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Solution

The fourth proportional to 2,623.85, 3,936.45 and 980.41 is: 1,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.85 : 3,936.45 = 980.41 : x
  2. Step 2: Convert to fraction form
    2,623.85/3,936.45 = 980.41/x
  3. Step 3: Cross multiply
    2,623.85x = 3,936.45 × 980.41
  4. Step 4: Simplify right side
    2,623.85x = 3,859,334.94
  5. Step 5: Solve for x
    x = 3,859,334.94/2,623.85
  6. Step 6: Final answer
    x = 1,470.87

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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.