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Finding the Fourth Proportional to 2,155.71, 2,974.80 and 1,211.49

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Solution

The fourth proportional to 2,155.71, 2,974.80 and 1,211.49 is: 1,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.71 : 2,974.80 = 1,211.49 : x
  2. Step 2: Convert to fraction form
    2,155.71/2,974.80 = 1,211.49/x
  3. Step 3: Cross multiply
    2,155.71x = 2,974.80 × 1,211.49
  4. Step 4: Simplify right side
    2,155.71x = 3,603,940.45
  5. Step 5: Solve for x
    x = 3,603,940.45/2,155.71
  6. Step 6: Final answer
    x = 1,671.81

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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.