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Finding the Fourth Proportional to 1,418.28, 2,126.04 and 493.14

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Solution

The fourth proportional to 1,418.28, 2,126.04 and 493.14 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.28 : 2,126.04 = 493.14 : x
  2. Step 2: Convert to fraction form
    1,418.28/2,126.04 = 493.14/x
  3. Step 3: Cross multiply
    1,418.28x = 2,126.04 × 493.14
  4. Step 4: Simplify right side
    1,418.28x = 1,048,435.37
  5. Step 5: Solve for x
    x = 1,048,435.37/1,418.28
  6. Step 6: Final answer
    x = 739.23

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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.