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Finding the Fourth Proportional to 2,446.10, 3,669.75 and 691.10

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Solution

The fourth proportional to 2,446.10, 3,669.75 and 691.10 is: 1,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.10 : 3,669.75 = 691.10 : x
  2. Step 2: Convert to fraction form
    2,446.10/3,669.75 = 691.10/x
  3. Step 3: Cross multiply
    2,446.10x = 3,669.75 × 691.10
  4. Step 4: Simplify right side
    2,446.10x = 2,536,145.88
  5. Step 5: Solve for x
    x = 2,536,145.88/2,446.10
  6. Step 6: Final answer
    x = 1,036.81

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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.