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Finding the Fourth Proportional to 3,128.75, 4,693.41 and 820.25

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Solution

The fourth proportional to 3,128.75, 4,693.41 and 820.25 is: 1,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.75 : 4,693.41 = 820.25 : x
  2. Step 2: Convert to fraction form
    3,128.75/4,693.41 = 820.25/x
  3. Step 3: Cross multiply
    3,128.75x = 4,693.41 × 820.25
  4. Step 4: Simplify right side
    3,128.75x = 3,849,769.55
  5. Step 5: Solve for x
    x = 3,849,769.55/3,128.75
  6. Step 6: Final answer
    x = 1,230.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.