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Finding the Fourth Proportional to 3,014.75, 4,160.53 and 1,738.83

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Solution

The fourth proportional to 3,014.75, 4,160.53 and 1,738.83 is: 2,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.75 : 4,160.53 = 1,738.83 : x
  2. Step 2: Convert to fraction form
    3,014.75/4,160.53 = 1,738.83/x
  3. Step 3: Cross multiply
    3,014.75x = 4,160.53 × 1,738.83
  4. Step 4: Simplify right side
    3,014.75x = 7,234,472.16
  5. Step 5: Solve for x
    x = 7,234,472.16/3,014.75
  6. Step 6: Final answer
    x = 2,399.69

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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.