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Finding the Fourth Proportional to 2,671.34, 3,689.46 and 2,634.92

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Solution

The fourth proportional to 2,671.34, 3,689.46 and 2,634.92 is: 3,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.34 : 3,689.46 = 2,634.92 : x
  2. Step 2: Convert to fraction form
    2,671.34/3,689.46 = 2,634.92/x
  3. Step 3: Cross multiply
    2,671.34x = 3,689.46 × 2,634.92
  4. Step 4: Simplify right side
    2,671.34x = 9,721,431.94
  5. Step 5: Solve for x
    x = 9,721,431.94/2,671.34
  6. Step 6: Final answer
    x = 3,639.16

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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.