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Finding the Fourth Proportional to 2,623.68, 3,935.52 and 980.22

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Solution

The fourth proportional to 2,623.68, 3,935.52 and 980.22 is: 1,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.68 : 3,935.52 = 980.22 : x
  2. Step 2: Convert to fraction form
    2,623.68/3,935.52 = 980.22/x
  3. Step 3: Cross multiply
    2,623.68x = 3,935.52 × 980.22
  4. Step 4: Simplify right side
    2,623.68x = 3,857,675.41
  5. Step 5: Solve for x
    x = 3,857,675.41/2,623.68
  6. Step 6: Final answer
    x = 1,470.33

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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.