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Finding the Fourth Proportional to 3,166.35, 4,746.96 and 1,318.86

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Solution

The fourth proportional to 3,166.35, 4,746.96 and 1,318.86 is: 1,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.35 : 4,746.96 = 1,318.86 : x
  2. Step 2: Convert to fraction form
    3,166.35/4,746.96 = 1,318.86/x
  3. Step 3: Cross multiply
    3,166.35x = 4,746.96 × 1,318.86
  4. Step 4: Simplify right side
    3,166.35x = 6,260,566.02
  5. Step 5: Solve for x
    x = 6,260,566.02/3,166.35
  6. Step 6: Final answer
    x = 1,977.22

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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.