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Finding the Fourth Proportional to 2,150.89, 2,968.20 and 1,206.69

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Solution

The fourth proportional to 2,150.89, 2,968.20 and 1,206.69 is: 1,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.89 : 2,968.20 = 1,206.69 : x
  2. Step 2: Convert to fraction form
    2,150.89/2,968.20 = 1,206.69/x
  3. Step 3: Cross multiply
    2,150.89x = 2,968.20 × 1,206.69
  4. Step 4: Simplify right side
    2,150.89x = 3,581,697.26
  5. Step 5: Solve for x
    x = 3,581,697.26/2,150.89
  6. Step 6: Final answer
    x = 1,665.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.