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Finding the Fourth Proportional to 1,980.70, 2,971.52 and 682.14

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Solution

The fourth proportional to 1,980.70, 2,971.52 and 682.14 is: 1,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.70 : 2,971.52 = 682.14 : x
  2. Step 2: Convert to fraction form
    1,980.70/2,971.52 = 682.14/x
  3. Step 3: Cross multiply
    1,980.70x = 2,971.52 × 682.14
  4. Step 4: Simplify right side
    1,980.70x = 2,026,992.65
  5. Step 5: Solve for x
    x = 2,026,992.65/1,980.70
  6. Step 6: Final answer
    x = 1,023.37

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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.