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Finding the Fourth Proportional to 4,564.20, 6,842.20 and 1,640.45

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Solution

The fourth proportional to 4,564.20, 6,842.20 and 1,640.45 is: 2,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.20 : 6,842.20 = 1,640.45 : x
  2. Step 2: Convert to fraction form
    4,564.20/6,842.20 = 1,640.45/x
  3. Step 3: Cross multiply
    4,564.20x = 6,842.20 × 1,640.45
  4. Step 4: Simplify right side
    4,564.20x = 11,224,286.99
  5. Step 5: Solve for x
    x = 11,224,286.99/4,564.20
  6. Step 6: Final answer
    x = 2,459.20

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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.