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Finding the Fourth Proportional to 2,623.30, 3,934.94 and 980.26

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Solution

The fourth proportional to 2,623.30, 3,934.94 and 980.26 is: 1,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.30 : 3,934.94 = 980.26 : x
  2. Step 2: Convert to fraction form
    2,623.30/3,934.94 = 980.26/x
  3. Step 3: Cross multiply
    2,623.30x = 3,934.94 × 980.26
  4. Step 4: Simplify right side
    2,623.30x = 3,857,264.28
  5. Step 5: Solve for x
    x = 3,857,264.28/2,623.30
  6. Step 6: Final answer
    x = 1,470.39

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Similar ratio
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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.