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Finding the Fourth Proportional to 2,340.71, 3,511.56 and 879.87

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Solution

The fourth proportional to 2,340.71, 3,511.56 and 879.87 is: 1,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.71 : 3,511.56 = 879.87 : x
  2. Step 2: Convert to fraction form
    2,340.71/3,511.56 = 879.87/x
  3. Step 3: Cross multiply
    2,340.71x = 3,511.56 × 879.87
  4. Step 4: Simplify right side
    2,340.71x = 3,089,711.90
  5. Step 5: Solve for x
    x = 3,089,711.90/2,340.71
  6. Step 6: Final answer
    x = 1,319.99

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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.