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Finding the Fourth Proportional to 2,141.41, 2,955.14 and 1,244.83

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Solution

The fourth proportional to 2,141.41, 2,955.14 and 1,244.83 is: 1,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.41 : 2,955.14 = 1,244.83 : x
  2. Step 2: Convert to fraction form
    2,141.41/2,955.14 = 1,244.83/x
  3. Step 3: Cross multiply
    2,141.41x = 2,955.14 × 1,244.83
  4. Step 4: Simplify right side
    2,141.41x = 3,678,640.70
  5. Step 5: Solve for x
    x = 3,678,640.70/2,141.41
  6. Step 6: Final answer
    x = 1,717.86

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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.