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Finding the Fourth Proportional to 1,755.37, 2,421.77 and 1,351.72

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Solution

The fourth proportional to 1,755.37, 2,421.77 and 1,351.72 is: 1,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.37 : 2,421.77 = 1,351.72 : x
  2. Step 2: Convert to fraction form
    1,755.37/2,421.77 = 1,351.72/x
  3. Step 3: Cross multiply
    1,755.37x = 2,421.77 × 1,351.72
  4. Step 4: Simplify right side
    1,755.37x = 3,273,562.62
  5. Step 5: Solve for x
    x = 3,273,562.62/1,755.37
  6. Step 6: Final answer
    x = 1,864.88

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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.