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Finding the Fourth Proportional to 2,343.76, 3,511.92 and 1,879.12

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Solution

The fourth proportional to 2,343.76, 3,511.92 and 1,879.12 is: 2,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.76 : 3,511.92 = 1,879.12 : x
  2. Step 2: Convert to fraction form
    2,343.76/3,511.92 = 1,879.12/x
  3. Step 3: Cross multiply
    2,343.76x = 3,511.92 × 1,879.12
  4. Step 4: Simplify right side
    2,343.76x = 6,599,319.11
  5. Step 5: Solve for x
    x = 6,599,319.11/2,343.76
  6. Step 6: Final answer
    x = 2,815.70

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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.