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Finding the Fourth Proportional to 3,175.78, 4,381.63 and 2,054.94

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Solution

The fourth proportional to 3,175.78, 4,381.63 and 2,054.94 is: 2,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.78 : 4,381.63 = 2,054.94 : x
  2. Step 2: Convert to fraction form
    3,175.78/4,381.63 = 2,054.94/x
  3. Step 3: Cross multiply
    3,175.78x = 4,381.63 × 2,054.94
  4. Step 4: Simplify right side
    3,175.78x = 9,004,010.82
  5. Step 5: Solve for x
    x = 9,004,010.82/3,175.78
  6. Step 6: Final answer
    x = 2,835.21

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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.