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Finding the Fourth Proportional to 2,928.43, 4,392.18 and 980.65

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Solution

The fourth proportional to 2,928.43, 4,392.18 and 980.65 is: 1,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.43 : 4,392.18 = 980.65 : x
  2. Step 2: Convert to fraction form
    2,928.43/4,392.18 = 980.65/x
  3. Step 3: Cross multiply
    2,928.43x = 4,392.18 × 980.65
  4. Step 4: Simplify right side
    2,928.43x = 4,307,169.36
  5. Step 5: Solve for x
    x = 4,307,169.36/2,928.43
  6. Step 6: Final answer
    x = 1,470.81

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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.