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Finding the Fourth Proportional to 1,683.12, 2,540.49 and 1,683.12

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Solution

The fourth proportional to 1,683.12, 2,540.49 and 1,683.12 is: 2,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.12 : 2,540.49 = 1,683.12 : x
  2. Step 2: Convert to fraction form
    1,683.12/2,540.49 = 1,683.12/x
  3. Step 3: Cross multiply
    1,683.12x = 2,540.49 × 1,683.12
  4. Step 4: Simplify right side
    1,683.12x = 4,275,949.53
  5. Step 5: Solve for x
    x = 4,275,949.53/1,683.12
  6. Step 6: Final answer
    x = 2,540.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.