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Finding the Fourth Proportional to 2,666, 3,679.08 and 1,618.16

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Solution

The fourth proportional to 2,666, 3,679.08 and 1,618.16 is: 2,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666 : 3,679.08 = 1,618.16 : x
  2. Step 2: Convert to fraction form
    2,666/3,679.08 = 1,618.16/x
  3. Step 3: Cross multiply
    2,666x = 3,679.08 × 1,618.16
  4. Step 4: Simplify right side
    2,666x = 5,953,340.09
  5. Step 5: Solve for x
    x = 5,953,340.09/2,666
  6. Step 6: Final answer
    x = 2,233.06

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Why These Related Problems?

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