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Finding the Fourth Proportional to 2,508.65, 3,462.05 and 1,446.57

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Solution

The fourth proportional to 2,508.65, 3,462.05 and 1,446.57 is: 1,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.65 : 3,462.05 = 1,446.57 : x
  2. Step 2: Convert to fraction form
    2,508.65/3,462.05 = 1,446.57/x
  3. Step 3: Cross multiply
    2,508.65x = 3,462.05 × 1,446.57
  4. Step 4: Simplify right side
    2,508.65x = 5,008,097.67
  5. Step 5: Solve for x
    x = 5,008,097.67/2,508.65
  6. Step 6: Final answer
    x = 1,996.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.