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Finding the Fourth Proportional to 1,640.68, 2,459.80 and 667.04

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Solution

The fourth proportional to 1,640.68, 2,459.80 and 667.04 is: 1,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.68 : 2,459.80 = 667.04 : x
  2. Step 2: Convert to fraction form
    1,640.68/2,459.80 = 667.04/x
  3. Step 3: Cross multiply
    1,640.68x = 2,459.80 × 667.04
  4. Step 4: Simplify right side
    1,640.68x = 1,640,784.99
  5. Step 5: Solve for x
    x = 1,640,784.99/1,640.68
  6. Step 6: Final answer
    x = 1,000.06

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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.