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Finding the Fourth Proportional to 2,352.92, 3,529.36 and 1,314.48

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Solution

The fourth proportional to 2,352.92, 3,529.36 and 1,314.48 is: 1,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.92 : 3,529.36 = 1,314.48 : x
  2. Step 2: Convert to fraction form
    2,352.92/3,529.36 = 1,314.48/x
  3. Step 3: Cross multiply
    2,352.92x = 3,529.36 × 1,314.48
  4. Step 4: Simplify right side
    2,352.92x = 4,639,273.13
  5. Step 5: Solve for x
    x = 4,639,273.13/2,352.92
  6. Step 6: Final answer
    x = 1,971.71

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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.