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Finding the Fourth Proportional to 2,313.91, 3,465.30 and 1,323.72

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Solution

The fourth proportional to 2,313.91, 3,465.30 and 1,323.72 is: 1,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.91 : 3,465.30 = 1,323.72 : x
  2. Step 2: Convert to fraction form
    2,313.91/3,465.30 = 1,323.72/x
  3. Step 3: Cross multiply
    2,313.91x = 3,465.30 × 1,323.72
  4. Step 4: Simplify right side
    2,313.91x = 4,587,086.92
  5. Step 5: Solve for x
    x = 4,587,086.92/2,313.91
  6. Step 6: Final answer
    x = 1,982.40

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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.