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Finding the Fourth Proportional to 4,605.50, 6,905.28 and 1,683.56

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Solution

The fourth proportional to 4,605.50, 6,905.28 and 1,683.56 is: 2,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.50 : 6,905.28 = 1,683.56 : x
  2. Step 2: Convert to fraction form
    4,605.50/6,905.28 = 1,683.56/x
  3. Step 3: Cross multiply
    4,605.50x = 6,905.28 × 1,683.56
  4. Step 4: Simplify right side
    4,605.50x = 11,625,453.20
  5. Step 5: Solve for x
    x = 11,625,453.20/4,605.50
  6. Step 6: Final answer
    x = 2,524.25

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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.