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Finding the Fourth Proportional to 1,683.64, 2,323.62 and 985

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Solution

The fourth proportional to 1,683.64, 2,323.62 and 985 is: 1,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.64 : 2,323.62 = 985 : x
  2. Step 2: Convert to fraction form
    1,683.64/2,323.62 = 985/x
  3. Step 3: Cross multiply
    1,683.64x = 2,323.62 × 985
  4. Step 4: Simplify right side
    1,683.64x = 2,288,765.70
  5. Step 5: Solve for x
    x = 2,288,765.70/1,683.64
  6. Step 6: Final answer
    x = 1,359.42

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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.