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Finding the Fourth Proportional to 3,014.56, 4,160.39 and 1,738.47

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Solution

The fourth proportional to 3,014.56, 4,160.39 and 1,738.47 is: 2,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.56 : 4,160.39 = 1,738.47 : x
  2. Step 2: Convert to fraction form
    3,014.56/4,160.39 = 1,738.47/x
  3. Step 3: Cross multiply
    3,014.56x = 4,160.39 × 1,738.47
  4. Step 4: Simplify right side
    3,014.56x = 7,232,713.20
  5. Step 5: Solve for x
    x = 7,232,713.20/3,014.56
  6. Step 6: Final answer
    x = 2,399.26

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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.