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Finding the Fourth Proportional to 2,341.70, 3,231.76 and 1,293.97

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Solution

The fourth proportional to 2,341.70, 3,231.76 and 1,293.97 is: 1,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.70 : 3,231.76 = 1,293.97 : x
  2. Step 2: Convert to fraction form
    2,341.70/3,231.76 = 1,293.97/x
  3. Step 3: Cross multiply
    2,341.70x = 3,231.76 × 1,293.97
  4. Step 4: Simplify right side
    2,341.70x = 4,181,800.49
  5. Step 5: Solve for x
    x = 4,181,800.49/2,341.70
  6. Step 6: Final answer
    x = 1,785.80

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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.