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Finding the Fourth Proportional to 2,171.59, 3,253.06 and 1,399.75

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Solution

The fourth proportional to 2,171.59, 3,253.06 and 1,399.75 is: 2,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.59 : 3,253.06 = 1,399.75 : x
  2. Step 2: Convert to fraction form
    2,171.59/3,253.06 = 1,399.75/x
  3. Step 3: Cross multiply
    2,171.59x = 3,253.06 × 1,399.75
  4. Step 4: Simplify right side
    2,171.59x = 4,553,470.74
  5. Step 5: Solve for x
    x = 4,553,470.74/2,171.59
  6. Step 6: Final answer
    x = 2,096.84

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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.