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Finding the Fourth Proportional to 2,173.82, 3,261.90 and 2,056.22

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Solution

The fourth proportional to 2,173.82, 3,261.90 and 2,056.22 is: 3,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.82 : 3,261.90 = 2,056.22 : x
  2. Step 2: Convert to fraction form
    2,173.82/3,261.90 = 2,056.22/x
  3. Step 3: Cross multiply
    2,173.82x = 3,261.90 × 2,056.22
  4. Step 4: Simplify right side
    2,173.82x = 6,707,167.71
  5. Step 5: Solve for x
    x = 6,707,167.71/2,173.82
  6. Step 6: Final answer
    x = 3,085.44

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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.