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Finding the Fourth Proportional to 2,666.79, 3,679.26 and 1,618.65

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Solution

The fourth proportional to 2,666.79, 3,679.26 and 1,618.65 is: 2,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.79 : 3,679.26 = 1,618.65 : x
  2. Step 2: Convert to fraction form
    2,666.79/3,679.26 = 1,618.65/x
  3. Step 3: Cross multiply
    2,666.79x = 3,679.26 × 1,618.65
  4. Step 4: Simplify right side
    2,666.79x = 5,955,407.71
  5. Step 5: Solve for x
    x = 5,955,407.71/2,666.79
  6. Step 6: Final answer
    x = 2,233.18

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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.