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Finding the Fourth Proportional to 3,117.75, 4,674.03 and 1,269.73

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Solution

The fourth proportional to 3,117.75, 4,674.03 and 1,269.73 is: 1,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.75 : 4,674.03 = 1,269.73 : x
  2. Step 2: Convert to fraction form
    3,117.75/4,674.03 = 1,269.73/x
  3. Step 3: Cross multiply
    3,117.75x = 4,674.03 × 1,269.73
  4. Step 4: Simplify right side
    3,117.75x = 5,934,756.11
  5. Step 5: Solve for x
    x = 5,934,756.11/3,117.75
  6. Step 6: Final answer
    x = 1,903.54

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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.