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Finding the Fourth Proportional to 2,123.73, 3,184.14 and 1,081.72

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Solution

The fourth proportional to 2,123.73, 3,184.14 and 1,081.72 is: 1,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.73 : 3,184.14 = 1,081.72 : x
  2. Step 2: Convert to fraction form
    2,123.73/3,184.14 = 1,081.72/x
  3. Step 3: Cross multiply
    2,123.73x = 3,184.14 × 1,081.72
  4. Step 4: Simplify right side
    2,123.73x = 3,444,347.92
  5. Step 5: Solve for x
    x = 3,444,347.92/2,123.73
  6. Step 6: Final answer
    x = 1,621.84

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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.