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Finding the Fourth Proportional to 2,171.84, 3,257.90 and 873.14

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Solution

The fourth proportional to 2,171.84, 3,257.90 and 873.14 is: 1,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.84 : 3,257.90 = 873.14 : x
  2. Step 2: Convert to fraction form
    2,171.84/3,257.90 = 873.14/x
  3. Step 3: Cross multiply
    2,171.84x = 3,257.90 × 873.14
  4. Step 4: Simplify right side
    2,171.84x = 2,844,602.81
  5. Step 5: Solve for x
    x = 2,844,602.81/2,171.84
  6. Step 6: Final answer
    x = 1,309.77

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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.