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Finding the Fourth Proportional to 2,154.74, 3,232.11 and 1,719.86

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Solution

The fourth proportional to 2,154.74, 3,232.11 and 1,719.86 is: 2,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.74 : 3,232.11 = 1,719.86 : x
  2. Step 2: Convert to fraction form
    2,154.74/3,232.11 = 1,719.86/x
  3. Step 3: Cross multiply
    2,154.74x = 3,232.11 × 1,719.86
  4. Step 4: Simplify right side
    2,154.74x = 5,558,776.70
  5. Step 5: Solve for x
    x = 5,558,776.70/2,154.74
  6. Step 6: Final answer
    x = 2,579.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.