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Finding the Fourth Proportional to 2,303.92, 3,179.82 and 1,359.66

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Solution

The fourth proportional to 2,303.92, 3,179.82 and 1,359.66 is: 1,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.92 : 3,179.82 = 1,359.66 : x
  2. Step 2: Convert to fraction form
    2,303.92/3,179.82 = 1,359.66/x
  3. Step 3: Cross multiply
    2,303.92x = 3,179.82 × 1,359.66
  4. Step 4: Simplify right side
    2,303.92x = 4,323,474.06
  5. Step 5: Solve for x
    x = 4,323,474.06/2,303.92
  6. Step 6: Final answer
    x = 1,876.57

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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.