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Finding the Fourth Proportional to 1,366.23, 2,049.44 and 392.34

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Solution

The fourth proportional to 1,366.23, 2,049.44 and 392.34 is: 588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.23 : 2,049.44 = 392.34 : x
  2. Step 2: Convert to fraction form
    1,366.23/2,049.44 = 392.34/x
  3. Step 3: Cross multiply
    1,366.23x = 2,049.44 × 392.34
  4. Step 4: Simplify right side
    1,366.23x = 804,075.33
  5. Step 5: Solve for x
    x = 804,075.33/1,366.23
  6. Step 6: Final answer
    x = 588.54

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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.