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Finding the Fourth Proportional to 2,315.92, 3,474.16 and 1,450.30

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Solution

The fourth proportional to 2,315.92, 3,474.16 and 1,450.30 is: 2,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.92 : 3,474.16 = 1,450.30 : x
  2. Step 2: Convert to fraction form
    2,315.92/3,474.16 = 1,450.30/x
  3. Step 3: Cross multiply
    2,315.92x = 3,474.16 × 1,450.30
  4. Step 4: Simplify right side
    2,315.92x = 5,038,567.00
  5. Step 5: Solve for x
    x = 5,038,567.00/2,315.92
  6. Step 6: Final answer
    x = 2,175.62

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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.