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Finding the Fourth Proportional to 2,671.50, 3,677.94 and 2,322.06

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Solution

The fourth proportional to 2,671.50, 3,677.94 and 2,322.06 is: 3,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.50 : 3,677.94 = 2,322.06 : x
  2. Step 2: Convert to fraction form
    2,671.50/3,677.94 = 2,322.06/x
  3. Step 3: Cross multiply
    2,671.50x = 3,677.94 × 2,322.06
  4. Step 4: Simplify right side
    2,671.50x = 8,540,397.36
  5. Step 5: Solve for x
    x = 8,540,397.36/2,671.50
  6. Step 6: Final answer
    x = 3,196.85

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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.