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Finding the Fourth Proportional to 3,116.96, 4,676.96 and 1,269.35

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Solution

The fourth proportional to 3,116.96, 4,676.96 and 1,269.35 is: 1,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.96 : 4,676.96 = 1,269.35 : x
  2. Step 2: Convert to fraction form
    3,116.96/4,676.96 = 1,269.35/x
  3. Step 3: Cross multiply
    3,116.96x = 4,676.96 × 1,269.35
  4. Step 4: Simplify right side
    3,116.96x = 5,936,710.87
  5. Step 5: Solve for x
    x = 5,936,710.87/3,116.96
  6. Step 6: Final answer
    x = 1,904.65

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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.