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Finding the Fourth Proportional to 1,980.64, 2,971.29 and 681.82

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Solution

The fourth proportional to 1,980.64, 2,971.29 and 681.82 is: 1,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.64 : 2,971.29 = 681.82 : x
  2. Step 2: Convert to fraction form
    1,980.64/2,971.29 = 681.82/x
  3. Step 3: Cross multiply
    1,980.64x = 2,971.29 × 681.82
  4. Step 4: Simplify right side
    1,980.64x = 2,025,884.95
  5. Step 5: Solve for x
    x = 2,025,884.95/1,980.64
  6. Step 6: Final answer
    x = 1,022.84

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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.