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Finding the Fourth Proportional to 2,674.40, 3,689.52 and 1,679.36

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Solution

The fourth proportional to 2,674.40, 3,689.52 and 1,679.36 is: 2,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.40 : 3,689.52 = 1,679.36 : x
  2. Step 2: Convert to fraction form
    2,674.40/3,689.52 = 1,679.36/x
  3. Step 3: Cross multiply
    2,674.40x = 3,689.52 × 1,679.36
  4. Step 4: Simplify right side
    2,674.40x = 6,196,032.31
  5. Step 5: Solve for x
    x = 6,196,032.31/2,674.40
  6. Step 6: Final answer
    x = 2,316.79

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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.