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Finding the Fourth Proportional to 2,954.09, 4,432.15 and 1,857.17

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Solution

The fourth proportional to 2,954.09, 4,432.15 and 1,857.17 is: 2,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.09 : 4,432.15 = 1,857.17 : x
  2. Step 2: Convert to fraction form
    2,954.09/4,432.15 = 1,857.17/x
  3. Step 3: Cross multiply
    2,954.09x = 4,432.15 × 1,857.17
  4. Step 4: Simplify right side
    2,954.09x = 8,231,257.81
  5. Step 5: Solve for x
    x = 8,231,257.81/2,954.09
  6. Step 6: Final answer
    x = 2,786.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.