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Finding the Fourth Proportional to 2,155.72, 2,974.90 and 1,409.22

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Solution

The fourth proportional to 2,155.72, 2,974.90 and 1,409.22 is: 1,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.72 : 2,974.90 = 1,409.22 : x
  2. Step 2: Convert to fraction form
    2,155.72/2,974.90 = 1,409.22/x
  3. Step 3: Cross multiply
    2,155.72x = 2,974.90 × 1,409.22
  4. Step 4: Simplify right side
    2,155.72x = 4,192,288.58
  5. Step 5: Solve for x
    x = 4,192,288.58/2,155.72
  6. Step 6: Final answer
    x = 1,944.73

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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.