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Finding the Fourth Proportional to 1,982.60, 2,972.78 and 665.67

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Solution

The fourth proportional to 1,982.60, 2,972.78 and 665.67 is: 998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.60 : 2,972.78 = 665.67 : x
  2. Step 2: Convert to fraction form
    1,982.60/2,972.78 = 665.67/x
  3. Step 3: Cross multiply
    1,982.60x = 2,972.78 × 665.67
  4. Step 4: Simplify right side
    1,982.60x = 1,978,886.40
  5. Step 5: Solve for x
    x = 1,978,886.40/1,982.60
  6. Step 6: Final answer
    x = 998.13

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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.