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Finding the Fourth Proportional to 2,246.68, 3,368.10 and 1,093.24

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Solution

The fourth proportional to 2,246.68, 3,368.10 and 1,093.24 is: 1,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.68 : 3,368.10 = 1,093.24 : x
  2. Step 2: Convert to fraction form
    2,246.68/3,368.10 = 1,093.24/x
  3. Step 3: Cross multiply
    2,246.68x = 3,368.10 × 1,093.24
  4. Step 4: Simplify right side
    2,246.68x = 3,682,141.64
  5. Step 5: Solve for x
    x = 3,682,141.64/2,246.68
  6. Step 6: Final answer
    x = 1,638.93

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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.