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Finding the Fourth Proportional to 2,912.65, 4,365.48 and 1,350.53

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Solution

The fourth proportional to 2,912.65, 4,365.48 and 1,350.53 is: 2,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.65 : 4,365.48 = 1,350.53 : x
  2. Step 2: Convert to fraction form
    2,912.65/4,365.48 = 1,350.53/x
  3. Step 3: Cross multiply
    2,912.65x = 4,365.48 × 1,350.53
  4. Step 4: Simplify right side
    2,912.65x = 5,895,711.70
  5. Step 5: Solve for x
    x = 5,895,711.70/2,912.65
  6. Step 6: Final answer
    x = 2,024.17

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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.