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Finding the Fourth Proportional to 1,982.30, 2,973.40 and 683.87

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Solution

The fourth proportional to 1,982.30, 2,973.40 and 683.87 is: 1,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.30 : 2,973.40 = 683.87 : x
  2. Step 2: Convert to fraction form
    1,982.30/2,973.40 = 683.87/x
  3. Step 3: Cross multiply
    1,982.30x = 2,973.40 × 683.87
  4. Step 4: Simplify right side
    1,982.30x = 2,033,402.48
  5. Step 5: Solve for x
    x = 2,033,402.48/1,982.30
  6. Step 6: Final answer
    x = 1,025.78

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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.