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Finding the Fourth Proportional to 1,983.40, 2,973.07 and 683.75

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Solution

The fourth proportional to 1,983.40, 2,973.07 and 683.75 is: 1,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.40 : 2,973.07 = 683.75 : x
  2. Step 2: Convert to fraction form
    1,983.40/2,973.07 = 683.75/x
  3. Step 3: Cross multiply
    1,983.40x = 2,973.07 × 683.75
  4. Step 4: Simplify right side
    1,983.40x = 2,032,833.19
  5. Step 5: Solve for x
    x = 2,032,833.19/1,983.40
  6. Step 6: Final answer
    x = 1,024.93

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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.