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Finding the Fourth Proportional to 1,982.32, 2,973.48 and 683.69

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Solution

The fourth proportional to 1,982.32, 2,973.48 and 683.69 is: 1,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.32 : 2,973.48 = 683.69 : x
  2. Step 2: Convert to fraction form
    1,982.32/2,973.48 = 683.69/x
  3. Step 3: Cross multiply
    1,982.32x = 2,973.48 × 683.69
  4. Step 4: Simplify right side
    1,982.32x = 2,032,931.11
  5. Step 5: Solve for x
    x = 2,032,931.11/1,982.32
  6. Step 6: Final answer
    x = 1,025.53

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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.