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Finding the Fourth Proportional to 2,747.06, 4,120.53 and 667.07

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Solution

The fourth proportional to 2,747.06, 4,120.53 and 667.07 is: 1,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.06 : 4,120.53 = 667.07 : x
  2. Step 2: Convert to fraction form
    2,747.06/4,120.53 = 667.07/x
  3. Step 3: Cross multiply
    2,747.06x = 4,120.53 × 667.07
  4. Step 4: Simplify right side
    2,747.06x = 2,748,694.26
  5. Step 5: Solve for x
    x = 2,748,694.26/2,747.06
  6. Step 6: Final answer
    x = 1,000.60

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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.