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Finding the Fourth Proportional to 3,014.37, 4,159.46 and 1,755.22

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Solution

The fourth proportional to 3,014.37, 4,159.46 and 1,755.22 is: 2,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.37 : 4,159.46 = 1,755.22 : x
  2. Step 2: Convert to fraction form
    3,014.37/4,159.46 = 1,755.22/x
  3. Step 3: Cross multiply
    3,014.37x = 4,159.46 × 1,755.22
  4. Step 4: Simplify right side
    3,014.37x = 7,300,767.38
  5. Step 5: Solve for x
    x = 7,300,767.38/3,014.37
  6. Step 6: Final answer
    x = 2,421.99

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Why These Related Problems?

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