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Finding the Fourth Proportional to 2,254.94, 3,111.82 and 1,592.94

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Solution

The fourth proportional to 2,254.94, 3,111.82 and 1,592.94 is: 2,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.94 : 3,111.82 = 1,592.94 : x
  2. Step 2: Convert to fraction form
    2,254.94/3,111.82 = 1,592.94/x
  3. Step 3: Cross multiply
    2,254.94x = 3,111.82 × 1,592.94
  4. Step 4: Simplify right side
    2,254.94x = 4,956,942.55
  5. Step 5: Solve for x
    x = 4,956,942.55/2,254.94
  6. Step 6: Final answer
    x = 2,198.26

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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.