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Finding the Fourth Proportional to 2,782.50, 4,165.44 and 1,683.54

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Solution

The fourth proportional to 2,782.50, 4,165.44 and 1,683.54 is: 2,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.50 : 4,165.44 = 1,683.54 : x
  2. Step 2: Convert to fraction form
    2,782.50/4,165.44 = 1,683.54/x
  3. Step 3: Cross multiply
    2,782.50x = 4,165.44 × 1,683.54
  4. Step 4: Simplify right side
    2,782.50x = 7,012,684.86
  5. Step 5: Solve for x
    x = 7,012,684.86/2,782.50
  6. Step 6: Final answer
    x = 2,520.28

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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.