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Finding the Fourth Proportional to 3,078.86, 4,247.76 and 1,734.26

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Solution

The fourth proportional to 3,078.86, 4,247.76 and 1,734.26 is: 2,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.86 : 4,247.76 = 1,734.26 : x
  2. Step 2: Convert to fraction form
    3,078.86/4,247.76 = 1,734.26/x
  3. Step 3: Cross multiply
    3,078.86x = 4,247.76 × 1,734.26
  4. Step 4: Simplify right side
    3,078.86x = 7,366,699.02
  5. Step 5: Solve for x
    x = 7,366,699.02/3,078.86
  6. Step 6: Final answer
    x = 2,392.67

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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.