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Finding the Fourth Proportional to 3,064.23, 4,228.97 and 1,738.40

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Solution

The fourth proportional to 3,064.23, 4,228.97 and 1,738.40 is: 2,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.23 : 4,228.97 = 1,738.40 : x
  2. Step 2: Convert to fraction form
    3,064.23/4,228.97 = 1,738.40/x
  3. Step 3: Cross multiply
    3,064.23x = 4,228.97 × 1,738.40
  4. Step 4: Simplify right side
    3,064.23x = 7,351,611.61
  5. Step 5: Solve for x
    x = 7,351,611.61/3,064.23
  6. Step 6: Final answer
    x = 2,399.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.