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Finding the Fourth Proportional to 1,541.30, 2,311.34 and 675

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Solution

The fourth proportional to 1,541.30, 2,311.34 and 675 is: 1,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.30 : 2,311.34 = 675 : x
  2. Step 2: Convert to fraction form
    1,541.30/2,311.34 = 675/x
  3. Step 3: Cross multiply
    1,541.30x = 2,311.34 × 675
  4. Step 4: Simplify right side
    1,541.30x = 1,560,151.13
  5. Step 5: Solve for x
    x = 1,560,151.13/1,541.30
  6. Step 6: Final answer
    x = 1,012.23

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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.