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Finding the Fourth Proportional to 2,314.92, 3,472.38 and 1,291.08

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Solution

The fourth proportional to 2,314.92, 3,472.38 and 1,291.08 is: 1,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.92 : 3,472.38 = 1,291.08 : x
  2. Step 2: Convert to fraction form
    2,314.92/3,472.38 = 1,291.08/x
  3. Step 3: Cross multiply
    2,314.92x = 3,472.38 × 1,291.08
  4. Step 4: Simplify right side
    2,314.92x = 4,483,120.37
  5. Step 5: Solve for x
    x = 4,483,120.37/2,314.92
  6. Step 6: Final answer
    x = 1,936.62

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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.