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Finding the Fourth Proportional to 1,683.78, 2,323.26 and 984.84

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Solution

The fourth proportional to 1,683.78, 2,323.26 and 984.84 is: 1,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.78 : 2,323.26 = 984.84 : x
  2. Step 2: Convert to fraction form
    1,683.78/2,323.26 = 984.84/x
  3. Step 3: Cross multiply
    1,683.78x = 2,323.26 × 984.84
  4. Step 4: Simplify right side
    1,683.78x = 2,288,039.38
  5. Step 5: Solve for x
    x = 2,288,039.38/1,683.78
  6. Step 6: Final answer
    x = 1,358.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.