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Finding the Fourth Proportional to 3,154.09, 4,730.77 and 845.41

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Solution

The fourth proportional to 3,154.09, 4,730.77 and 845.41 is: 1,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.09 : 4,730.77 = 845.41 : x
  2. Step 2: Convert to fraction form
    3,154.09/4,730.77 = 845.41/x
  3. Step 3: Cross multiply
    3,154.09x = 4,730.77 × 845.41
  4. Step 4: Simplify right side
    3,154.09x = 3,999,440.27
  5. Step 5: Solve for x
    x = 3,999,440.27/3,154.09
  6. Step 6: Final answer
    x = 1,268.02

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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.