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Finding the Fourth Proportional to 2,646.84, 3,967.69 and 980.49

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Solution

The fourth proportional to 2,646.84, 3,967.69 and 980.49 is: 1,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.84 : 3,967.69 = 980.49 : x
  2. Step 2: Convert to fraction form
    2,646.84/3,967.69 = 980.49/x
  3. Step 3: Cross multiply
    2,646.84x = 3,967.69 × 980.49
  4. Step 4: Simplify right side
    2,646.84x = 3,890,280.37
  5. Step 5: Solve for x
    x = 3,890,280.37/2,646.84
  6. Step 6: Final answer
    x = 1,469.78

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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.