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Finding the Fourth Proportional to 2,827.62, 4,242.57 and 980.03

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Solution

The fourth proportional to 2,827.62, 4,242.57 and 980.03 is: 1,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.62 : 4,242.57 = 980.03 : x
  2. Step 2: Convert to fraction form
    2,827.62/4,242.57 = 980.03/x
  3. Step 3: Cross multiply
    2,827.62x = 4,242.57 × 980.03
  4. Step 4: Simplify right side
    2,827.62x = 4,157,824.66
  5. Step 5: Solve for x
    x = 4,157,824.66/2,827.62
  6. Step 6: Final answer
    x = 1,470.43

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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.