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Finding the Fourth Proportional to 4,564.20, 6,842.19 and 1,640.46

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Solution

The fourth proportional to 4,564.20, 6,842.19 and 1,640.46 is: 2,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.20 : 6,842.19 = 1,640.46 : x
  2. Step 2: Convert to fraction form
    4,564.20/6,842.19 = 1,640.46/x
  3. Step 3: Cross multiply
    4,564.20x = 6,842.19 × 1,640.46
  4. Step 4: Simplify right side
    4,564.20x = 11,224,304.80
  5. Step 5: Solve for x
    x = 11,224,304.80/4,564.20
  6. Step 6: Final answer
    x = 2,459.21

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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.