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Finding the Fourth Proportional to 2,155.69, 2,974.91 and 1,211.56

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Solution

The fourth proportional to 2,155.69, 2,974.91 and 1,211.56 is: 1,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.69 : 2,974.91 = 1,211.56 : x
  2. Step 2: Convert to fraction form
    2,155.69/2,974.91 = 1,211.56/x
  3. Step 3: Cross multiply
    2,155.69x = 2,974.91 × 1,211.56
  4. Step 4: Simplify right side
    2,155.69x = 3,604,268.46
  5. Step 5: Solve for x
    x = 3,604,268.46/2,155.69
  6. Step 6: Final answer
    x = 1,671.98

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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.