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Finding the Fourth Proportional to 2,928.82, 4,393.32 and 980.80

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Solution

The fourth proportional to 2,928.82, 4,393.32 and 980.80 is: 1,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.82 : 4,393.32 = 980.80 : x
  2. Step 2: Convert to fraction form
    2,928.82/4,393.32 = 980.80/x
  3. Step 3: Cross multiply
    2,928.82x = 4,393.32 × 980.80
  4. Step 4: Simplify right side
    2,928.82x = 4,308,968.26
  5. Step 5: Solve for x
    x = 4,308,968.26/2,928.82
  6. Step 6: Final answer
    x = 1,471.23

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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.