Home / 1,683.50-2,323.32-985.28

Finding the Fourth Proportional to 1,683.50, 2,323.32 and 985.28

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Solution

The fourth proportional to 1,683.50, 2,323.32 and 985.28 is: 1,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.50 : 2,323.32 = 985.28 : x
  2. Step 2: Convert to fraction form
    1,683.50/2,323.32 = 985.28/x
  3. Step 3: Cross multiply
    1,683.50x = 2,323.32 × 985.28
  4. Step 4: Simplify right side
    1,683.50x = 2,289,120.73
  5. Step 5: Solve for x
    x = 2,289,120.73/1,683.50
  6. Step 6: Final answer
    x = 1,359.74

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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.