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Finding the Fourth Proportional to 1,983.52, 2,973.26 and 683.88

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Solution

The fourth proportional to 1,983.52, 2,973.26 and 683.88 is: 1,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.52 : 2,973.26 = 683.88 : x
  2. Step 2: Convert to fraction form
    1,983.52/2,973.26 = 683.88/x
  3. Step 3: Cross multiply
    1,983.52x = 2,973.26 × 683.88
  4. Step 4: Simplify right side
    1,983.52x = 2,033,334.76
  5. Step 5: Solve for x
    x = 2,033,334.76/1,983.52
  6. Step 6: Final answer
    x = 1,025.11

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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.