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Finding the Fourth Proportional to 1,981.12, 2,971.66 and 682.58

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Solution

The fourth proportional to 1,981.12, 2,971.66 and 682.58 is: 1,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.12 : 2,971.66 = 682.58 : x
  2. Step 2: Convert to fraction form
    1,981.12/2,971.66 = 682.58/x
  3. Step 3: Cross multiply
    1,981.12x = 2,971.66 × 682.58
  4. Step 4: Simplify right side
    1,981.12x = 2,028,395.68
  5. Step 5: Solve for x
    x = 2,028,395.68/1,981.12
  6. Step 6: Final answer
    x = 1,023.86

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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.